Nasri played for three years under Wenger at Arsenal before leaving to join City in a deal worth £24m.
The French midfielder has taken a swipe at City boss Roberto Mancini by declaring that Wenger understood him better as a player and blasted comments that he has not put in his maximum effort this season.
He said: "If I'd worked with Wenger at Manchester City, maybe I would have avoided some problems.
"Mancini showed bad faith in his comments. He is exaggerating. He doesn't necessarily speak all that good English so sometimes his comments are a bit raw. When he said I trained at 50%, that wasn't true.
"Arsene Wenger is the one who understood me most, with whom I had the greatest affinity. I'm very grateful to him as he signed me after perhaps my worst season at Marseille when I had a bout of meningitis. He played a huge role in my career."