The Italian manager is anxious to lead the club into the Champions League for the first time next season and they are on course to do just that.
Mancini wants Tevez to remain his talisman and forget any thoughts about moving after the Argentinian striker handed in a transfer request that was promptly rejected.
The Blues boss said: "This is an important season for us. We can change the history of the club. We have this group and Carlos is an important player for us.
"I hope he stays here. Together we can work well this year. I think we can always change our mind. I don't think he is really unhappy. But maybe there is another reason."