Tevez scored on a reserve team outing at Morecambe on Wednesday and team-mate Yaya Toure has revealed the striker has promised to do everything in his power to help City get their noses back in front.
"Everyone can make mistakes but Carlos is a really good man," Toure told the Manchester Evening News.
"When you meet him, he is always good fun and a nice guy, even if people may have a different image of him.
"He knew when he came back to the club he had made a very big mistake, but now everything is over and he is focused on winning the Premier League.
"He wants to do as much as possible to say sorry to the fans.
"He will be an important player for us as he wants to prove he is a top player.
"I am sure he will be fantastic for the rest of the season."