The People says while City have yet to make a formal bid, Ibrahimovic is keen to prove himself in the Premier League after being angered by the dismissive tone taken towards him in England over much of the past decade.
The Swede is European football's great "lucky charm" having won the domestic title in 10 of the last 12 seasons across four countries.
He has ALREADY fallen out with Paris Saint-Germain boss Laurent Blanc - who was only appointed 18 days ago - and seems set to quit the French champions.
Ibrahimovic has refused to return a call from the former France manager, despite being given an extra 10 days off from pre-season training than the majority of the PSG squad.
The 31-year-old is understood to be unhappy at the imminent arrival of Uruguayan hitman Edinson Cavani, set to move in a £53million deal from Napoli, and there is a growing suspicion the Swede will refuse to turn up for training this Thursday.