The Italian believes that the Argentine striker would be a quality addition to his side and expects the 27-year-old to accept a move to the French capital
"We hope to find a valid solution," Ancelotti told Sky Sport Italia. "Everyone knows that we are looking for an attacker.
"Tevez would be a great opportunity: right now, he is not playing at City and he wants to play."
The controversial Argentine is reportedly PSG's top transfer target after it was forced to admit defeat in its chase of AC Milan's Alexandre Pato.
Inter and Milan are also in the race for Tevez, but the Serie A duo are believed to be unwilling to meet City's valuation of the striker.
"Up to this date, nothing is defined. We must talk to the player and City. I have not spoken with him or his agent. [PSG sporting director] Leonardo is taking care of everything."
Tevez is currently AWOL in Argentina after being frozen out of City's squad for refusing to warm-up in a Champions League match against Bayern Munich in September.
Ancelotti believes that Tevez's lack of first-team action will not be a problem and is confident that the Argentine star will agree to a move to the Parc des Princes.
"I think that if we talk to Tevez, he will say he wants to come," Ancelotti continued. "He must make a change, he is not playing at City.
"He is a great player, I think that in two weeks he could regain his fitness."