The Premier League champions have been linked with a move for the Dutch marksman, who is out of contract at the Emirates Stadium in less than a year and is reluctant to sign a new deal.
Despite this the Italian trainer does not want to speculate over a possible move, and does not intend to sell a number of fringe players.
“Van Persie? He is an Arsenal player and I don’t want to disrespect Arsene Wenger,” Mancini told Sky Sport Italia.
“We have four strikers and we will start the preseason in five days, it’s unlikely there will be major changes in such a short time.
“The same goes for Dzeko, his farewell is not expected The interest of Juventus for him? It will be difficult that Edin goes away.
“Kolarov? I myself wanted him at City, he is a great player. If it depends on me, he would remain at the City. I’d love to have him again in the next season but I cannot impose myself on his will.
“Tevez will remain here unless he wants to change team,” Mancini concluded.
By Gareth McKnight