City will face Manchester City in the Premier League on Sunday.
Tevez, who is struggling to shake off a knee injury ahead of the clash, left United and joined local rivals City in the summer transfer market.
“I expect to have a good reception,” said Tevez in the Daily Telegraph. “While at United, I always gave my best and I had good relations with the fans.
“They know I did everything while at Old Trafford to try to score the goals that would help the team win matches, so I don’t know why I should have a bad reception.
“What will I do if I score a goal? Well, I will be glad, but I don’t think too much about that right now.
“The important thing is that Manchester City win the game. If I don’t score, but we can get the three points, I will be very happy.”
