The 25-year-old Bosnian international has fallen down the pecking order at the Etihad Stadium, and with Carlos Tevez poised to return to first-team action, now looks surplus to requirements.
With seven goals in his first four matches this season, Dzeko appeared to have finally settled in Manchester, but Citizens boss Roberto Mancini is growing impatient after a series of frustrating performances from the target man.
City have been linked with a host of different players to improve their attacking options during the summer, meaning Dzeko's future in England is anything but certain, and he could be offered an escape route by the Serie A giants.
The Turin-based club are monitoring his situation and will step up their interest at the end of the current campaign, with Juventus likely to be an attractive option for Dzeko.
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