Dundee United have doubts over two of their Irish defenders ahead of the Scottish Cup tie at Stranraer.
Sean Dillon (thigh) and Gavin Gunning (ankle) will face late fitness tests prior to kick-off.
But fellow Irishman Willo Flood is expected to recover from an ankle knock picked up in the 2-1 SPL defeat by Motherwell earlier this week.
Gary Mackay-Steven remains on the sidelines after breaking a bone in his hand.
City, since the takeover by Abu Dhabi-based billionaire Sheikh Mansour, have spent £500million on players in just over five years, won the title, the FA Cup and have played in the Champions League.
The Toffees, who have not won a trophy since 1995, are still struggling to find someone to invest in them after a number of years searching and have traditionally had to make one big sale every season to balance the books.
Despite that they are enjoying their best start to a campaign for some time although they have recently dropped out of the top four.
"It (the match) is maybe the ones who have and the ones who have not possibly but when we cross the white line tomorrow no-one is thinking what they've got and what we've not got," said Moyes.
"At the end of the day it is 11 versus 11 and if we can continue the record of making it hard for them and upsetting them then we will."
Moyes' recent record against City is good, particularly, at the Etihad Stadium where last year's defeat came after victories in four successive seasons.
Mancini's side are undefeated in 36 Premier League home matches, dating back almost two years to December 2010, but that does not concern Moyes.
"We didn't have a good record there against them last year because we lost but we played well and did a job on them," said the Toffees boss.
"They were very good at that time and we did a man-marking job on David Silva and I think we got to about 68 minutes before we conceded.
"You have to think where Everton were last season compared to now.
"We were a different team and we were in a different mindset then - but so were Man City because they were really flying.
"It has completely changed around: we are different now, we feel different about ourselves and have different players so we can approach the game in a different fashion.
"But can you tell me any team who attacks Man City? I went to watch them against Chelsea, the European champions, and I wouldn't say they really attacked them.
"We will try to have a go at them but there are teams maybe better than us who can't do it but we'll go there and try to make it work."
Everton will most likely be without Leighton Baines, who injured a hamstring in the midweek draw with Arsenal, and that leaves a huge hole not only at full-back but down the entire left flank.
Moyes could play Bryan Oviedo, whom he brought in during the summer, there or take the more pragmatic approach and shift centre-back Sylvain Distin.
"You can see it's not easy to replace good left-backs and that is why we got someone in early because we've not had any cover for Leighton," said the manager.
"He is can be our best attacker at times. His combination play is very good and a big part of the team."
Everton have drawn six of their last eight matches, which has resulted in their slip from second place in September to their current sixth spot.
Moyes knows his side need to find more goals to kill off games and is looking for striker Nikica Jelavic to rediscover his early-season form after finding the net just once in his last seven appearances.
"We want him to hold the ball up, bring people into the game, and he created one or two opportunities against Arsenal and had one great made by himself where he should at least hit the target," he added.
"That was a bit more like it, it was more encouraging, and let's hope he continues that.
"At the moment Felli (Marouane Fellaini) is getting the goals but we need him and Jela to end up getting quite a lot between the two of them.
"I said to the lads we need to keep making chances. In the opening six to 10 games people were saying Everton had created more chances than any club in Europe never mind England.
"We have not been doing bad but in recent weeks we have not been as good making and taking those opportunities."
Caley Thistle have enjoyed one of the best weeks in their history with victories on the road against Celtic and Aberdeen putting them in the top three of the Scottish Premier League.
But local bragging rights and cup progression are now at stake as they make the much shorter journey to Dingwall.
Butcher is confident his players will come down from the highs of Parkhead and Pittodrie when they run out at the Global Energy Stadium on Saturday.
The former England captain said: "When the draw was made, if it had been a lower-league club then there was a grave danger of the players not approaching the game in the right frame of mind.
"But because it's Ross County away from home, the first ever Highland derby in the Scottish Cup, the players know it's a very, very big game and on the same level as the ones we have played before, if not higher.
"They have managed to put the Celtic and Aberdeen game to the back of their minds because they are history now and have no bearing on this game. It stands alone and it should be a cracker. The players are right up for it."
Caley Thistle's new-look team won the first SPL meeting between the local rivals with a 3-1 home victory in September despite the visitors having much more experience of the game, with several former Inverness players in their team.
And Butcher feels their form will have no relevance in the latest encounter.
"A lot of our boys haven't been there," he said. "Only Ryan Esson and Richie (Foran) have been there before.
"I haven't won there as Caley Thistle manager. I have got a draw there. But it was the same at Celtic Park last week and Billy McKay and the rest of the team turned that round.
"Previous history and the previous match, which we won 3-1, doesn't count. This stands alone, it's a one-off cup tie. It will be a cracking match, a cracking ground and a brilliant atmosphere.
"No-one has played in a Highland derby in the Scottish Cup. No-one has any experience of it. So what has happened before has no bearing.
"No matter what both teams have done this week, what the form is, what the history is, counts for nothing. How you go about it on the day is key to it.
"For me, no-one is the favourite. Ross County are at home but cup ties are major levellers."
The Dingwall side progressed all the way to the final a couple of years ago - taking high-profile scalps along the way - before eventually losing to Dundee United at Hampden.
Adams would love to see his side have another crack at silverware this time around but knows the visit of Caley Thistle is a tough opener.
He said: "We want to get back to another final like we did in 2010.
"It was a difficult progression through the rounds and we had to beat the likes of Hibernian and Celtic on the way.
"We've got a tough one to start with against Inverness.
"It's a tough hurdle but we're in positive mood and we go into the game ready for them."
Inverness claimed the bragging rights in the last Highland derby between the two sides, when they claimed a 3-1 victory in the Scottish Premier League in October.
Adams said: "I don't think we'll have to say much from a motivational point of view on Saturday.
"The players will be motivated enough and ready to go.
"We'll just have to be aware of Inverness' threats and try to exploit their weaknesses."
The County boss hopes home advantage can make all the difference in tomorrow's tie.
He said: "We're looking forward to the game, especially with it being at home.
"It's a good opportunity for us to try to progress to the next round of the cup and Inverness will be thinking the same way.
"We've done well at home against Inverness before, with a win and a draw.
"If we can take that mentality into the cup game, we'll do well.
"Inverness have done very well of late and have managed to put a run together.
"But the players want to win the match and progress to the next round and they'll be focused."
