Having secured fourth place in the Premier League after a 1-0 win over Tottenham on Tuesday night, City are planning for next season.
And with uncertainty surrounding the future of Carlos Tevez, and Mario Balotelli and Edin Dzeko failing to meet expectations, a striker could be a target.
Ibrahimovic is currently on loan at Serie A champions AC Milan from Barcelona and the Swede has said he wants to stay at the San Siro, but a City bid of around £20million could change the situation.
Right qualities
"If Zlatan wants to come to City, I would immediately find him a place."
City reportedly fear that Argentina international Tevez still wants to quit the club this summer, despite withdrawing a transfer request earlier in the season.
There has also been speculation about Balotelli, a £24m signing from Inter last August, amid suggestions that the Italian is homesick.
But Mancini, who left the 20-year-old as an unused substitute against Tottenham, said: "He will definitely stay. Mario is an ongoing bet.
"He has shown he has all the right qualities, but needs to do more, much more, to give a sense to his talent."
Source: SSN
I dont think this will happen. He'll stay at Ac Milan.