Fulham boss Martin Jol has refused to rule himself out of the running to replace David Moyes at Everton.
Everton are beginning their search for a new manager with David Moyes leaving Goodison Park to succeed Sir Alex Ferguson at Manchester United.
Jol has one year remaining on his contract at Craven Cottage and reports have suggested he is considering his future if he does get backing in the transfer market this summer.
Asked if he would be interested in taking over at Everton, Jol said: "I wouldn't be embarrassed to be linked with them. Everton are a good club.
"If you look when I was at Hamburg and Ajax they had their best win percentages (more than 60 per cent).
"But I am here at Fulham, have one year left, I'm happy and my family is happy here."
Martinez has been heavily linked with the managerial vacancy at Everton, with David Moyes leaving Goodison Park for Manchester United at the end of this campaign to succeed the retiring Sir Alex Ferguson.
"Roberto will make his own mind up. Roberto consistently says 'I love Wigan, I will stay with Wigan'," Whelan said.
"When the time comes he will leave for a big club, I have no doubt about that. But I think he might just stay with Wigan."
Wigan beat Manchester City to win the FA Cup yesterday with an injury-time header from Ben Watson.
The club now face a fight for Barclays Premier League survival, with games against Arsenal and Aston Villa to come over the next week.
While Whelan celebrated until the early hours, Martinez and the players had to keep their champagne on ice.
"We outplayed Manchester City across the whole of the game yesterday. Our boys totally deserved it," Whelan said.
"We had three of our mainline players injured and up to eight players off this season. That is why we have struggled. We would have been in the top half of the league without a problem.
"You saw the quality of Wigan on Saturday, you saw the quality of Roberto Martinez and what he puts into the team.
"We have two massive games. Last night they went home and knew they had to go straight to bed. We have a big game on Tuesday and a massive game on Sunday.
"The boys are dedicated to the massive task of keeping Wigan in the Premier League. The big fight is to stay up."
But Carrick is also excited about the future at Old Trafford and the prospect of working under Everton manager David Moyes, who will succeed Ferguson at the end of the season.
"It has been a strange week to say the least. Everyone is still coming to terms with the fact he is leaving and and a new manager is coming in," Carrick told BBC Radio 5 Live's Sportsweek programme.
"The initial thoughts were really disappointed and quite gutted when the manager told us as a team. It was quite sad in the dressing room.
"It was a huge moment, not just for us as players, but we were well aware for the football world in general what kind of news it was.
"When the boss pulled us together and told us, everyone was disappointed, it was hard to take but we understand and appreciate everything he has done for this club and the world of football.
"He is argably the best manager of all time so for him to be sitting in the changing room and telling us it was his time to retire, it was quite an emotional time.
"I am grateful to have been able to play in one of his teams and play for this great club.
"He is an incredible manager and an incredible man. His man-management, his hunger for success, his drive and desire makes him a one-off.
"Plenty of people can have success over a short time but to keep evolving and changing his team and changing his approach to management is sensational and will never be repeated.
"I am very, very excited, very much looking forward to moving on to a new chapter with the club and in my career.
"David has done an unbelievable job at Everton over a long period of time to keep them up there challenging for Europe.
"He hasn't had the money of the top four or five clubs but he has always put a team out there to challenge.
"I am sure he will come here and have a sucessful time. He will not have to change things overnight because things have gone well of late, but he is his own man and we will all be right behind him as players."
Manchester United director Sir Bobby Charlton agreed with Carrick that Moyes has the ability to step into Ferguson's giant shoes and make a success of his tenure at Old Trafford.
"Like Alex, he has the work ethic. It is fantastic for Manchester United. He is a well-meaning lad, he is very professional and I think he will be a big success at our club," Charlton said.
Alex McLeish, who played under Ferguson at Aberdeen, wanted to remind the football world that his achievements in Scotland were the launch-pad for a remarkable career.
Ferguson broke up the dominance of Rangers and Celtic in the Scottish league and led the Dons to victory in the 1983 Cup Winners' Cup final against Real Madrid.
"That was probably missed out a little bit during the week," McLeish said.
"He really launched himself by winning his first major European trophy with a small provincial club in the north of Scotland, which was quite a feat.
"That was the triumph which alerted Manchester United."
