The Swedish star is on loan to the Rossoneri from Barcelona and his future is still uncertain for next season and beyond.
City secured a Champions League position with a 1-0 win over Tottenham last night and now Mancini will go about strengthening his squad even further so they can compete in Europe’s top competition.
The Italian said that if Ibrahimovic wanted to be part of things at Eastlands then his presence would certainly be welcome.
"If Zlatan wants to come to City, I would immediately find him a place,” Mancini told The Sun.
With Carlos Tevez likely to leave in the summer and Emmanuel Adebayor almost a certainty to be sold, Mancini will be looking for some quality reinforcements as City pursue the title next campaign as well as Champions League glory.