The 26-year-old has been the subject of interest from the Serie A runners-up amid reports the Bosnia and Herzegovina striker is surplus to requirements at Eastlands.
Mancini acknowledged Dzeko, who scored twice in a 4-0 friendly victory over Irish outfit Limerick City on Sunday, has a valid reason to be frustrated after spending most of the second half of the season on the bench.
However, the City manager is still keen to keep the striker at the Etihad Stadium. “It’s pretty unlikely he will leave,” Mancini told Sky Sport Italia.
“He is right to say it’s no fun being on the bench but when you join a big club then competition is normal.”
Dzeko has scored 28 goals in 62 appearances after moving from Wolfsburg to City in a £27m deal in January 2011.
The forward recently admitted he is a keen follower of Serie A and revealed his desire to play in Italy’s top flight in the future.
“I always follow the Italian league and one day I’d like to play in it,” Dzeko told the Manchester Evening News.
“I also know that Milan has sold two of its best players.
“For now I am a City player, but to be sure I will stay here I will have to wait until the end of the month. I’ll see what happens, and if someone else comes.”
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