The former Manchester United man missed almost six months of football following his spat with manager Roberto Mancini in the Champions League game against Bayern Munich.
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"For me, and for him, it's a big dream for us to play for the same club," Tevez told reporters.
"We are very good friends and companions, you can see that.
"He wants to play with me and I want to play with him, so it's good for us to play together.
"It was important for me to play football again. It's what I do, and the most important thing for me.
"I feel very good and I am also very happy. My team-mates give me support and confidence when I go on the pitch.
"I'm back playing, which is something I enjoy very much, so it was important to score three goals."
Despite City’s dominant 6-1 win over Norwich City at the weekend, the Etihad outfit still trail United by five points after the Red Devils responded with a 4-0 victory of the ailing Aston Villa.
However, Tevez believes his former side can still lose points and that the Manchester derby at the end of the month will be a chance to put Sir Alex Ferguson’s side under pressure.
"We'll be fighting until the end - until it's mathematically impossible to be champions," said Tevez.
"We always knew United can lose points and now they have to come to play at City, which will be difficult.
"We won't give them any space. We're going to continue to put them under pressure and then we will see how it finishes.
"We need to continue to play the way we want to play, win games and put pressure on them."