Tevez criticised the Italian gaffer last month for his heavy training schedule.
“Of course I would really like him to continue here,” he told The Sun.
“I would like all of us to stay and continue with this ambitious project which we have started.
“The manager has given me the continuity that every player needs to produce his best. He helped me recover my confidence.
“Thanks to the coach and my team-mates, things have worked well for me this season and it’s the reason I have achieved such a high level.”
City are fighting with Tottenham for Champions League qualification.
He added: “We are a team that is growing together. We are happy with what we’ve done so far but we know this is our greatest challenge.
“Now the last part comes, we know it will be tough but we’ll try hard. We are very confident.
“Tottenham have a team which is no more or less than us. We are at the same level so the team that performs to their true potential will win this battle.
“We both need to win and time will decide who will be the winner.
“The Champions League is one of the most beautiful tournaments in the world to play in, that is unquestionable.
“Of course there is the possibility we will not qualify because we are just making our first steps to becoming a great team.
“Everything will happen in due time. But I like to talk about realities and maybe next season City in the Champions League will be a reality.”
