City have made enquiries for the £20million-rated Van Persie, who is out of contract next summer.
Roberto Mancini again admitted that he is a big fan but was cagey when asked about a bid.
The City boss said: “I think it is like this. If Wenger said this, I think it is true.
“Van Persie is one of the best strikers in the world, it is difficult to buy him.
“Have we made an offer? I don’t think so.”