The former Hearts midfielder became an unpopular figure in the eyes of the Ibrox faithful as a result of the tackle which sidelined the striker for several months with ankle ligament damage.
Jelavic sealed a move to Everton in January, while Black became the first signing for Rangers since the club was consigned to liquidation and became a new company this summer.
As far as he is concerned, he would rather focus on what he sees as a bright future with the Glasgow giants, than dwell on the past.
"I think I was a villain for every SPL team but that's part and parcel of the job," he said.
"I'm sure I'll win the fans over. I'm here to do a job for them.
"Some of them might have a bit of a grudge but I'll just go out there and work and hopefully do the business for them.
"People who know me, know what I'm like. I don't dwell on the past or talk about it. What happens, happens. You have to get on with it.
"He's kicked on and moved down south now and I'm here.
"But I'm sure if he was here, I would go over and shake the big boy's hand and enjoy working with him."
Black and Dean Shiels both opted to sign for Rangers despite the club being demoted to the Third Division, and, as Ally McCoist attempts to build a squad before a 12-month transfer embargo comes into effect on September 1, Black has urged other potential targets to follow suit.
"If there are players out there who have been contacted by the manager or the board, I would urge any one of them to come here because it's a special place and everybody is great," he added.
Black, who was a free agent after his Hearts contract expired, added:
"I had a good number of offers and that's why it raised a few peoples' eyebrows but I was over the moon when Rangers came in.
"It's an opportunity that doesn't come around often at a club of this size.
"If you asked the majority of players who are playing in the SPL, if they had the opportunity to come to a club like this, I'm sure they would grab it with both hands.
"You can talk about Division Three but it doesn't matter.
"I'm here to play for the club and I can be part of something very special, just like I was at the end of the season with Hearts.
"People can look at me and think I'm silly but we'll be back one day and I'm just looking forward to the challenge."
Black helped Hearts win the Scottish Cup last season and sees no reason why Rangers cannot go all the way in the cup competitions this term despite their league status.
"There is great belief throughout the whole squad," he said.
"We've not spoken about it but we know we've got the ability in that group to win the cups.
"People might knock us now because of where we are but I'm sure we will go out there and try to prove a point."
He also believes Third Division football should be no barrier to himself, nor any other Rangers player, forcing their way into Scotland boss Craig Levein's plans ahead of the World Cup qualifiers.
"It shouldn't hinder anything, it doesn't matter what level you are playing at," Black said.
"If you're good enough to get in that squad, I'm sure he will look at you and see that you are doing the business.
"There are a few of us who have potential to get in and I'm sure he won't turn a blind eye. If we are at the top of our game, then who knows?"
