29-year-old Dzeko joined City from Wolfsburg in 2011 after struggling last season, he has been linked with a move away from the club.
The Bosnia international reportedly rejected the chance to join Liverpool as part of an exchange deal for Raheem Sterling last week, but his agent Irfan Redzepagic has claimed the speculation has no foundation whatsoever.
“It turns out all the clubs are only after Edin — I heard even some Bosnia & Herzegovina first league clubs are interested in him,” he said.
“Every day they are linking him to another team. First it was Atletico, then Juventus and now Roma, Chelsea … These are all journalists’ guesses and speculations, repeating with every transfer window. I’m bored with repeating that there’s nothing in it.
“Edin is currently on holidays. He hasn’t rejected any offers, because there simply weren’t any. That is the whole truth of it.”
“Edin has a contract with City and is happy at the club.”
Dzeko put pen to paper last year on a new deal at the Etihad Stadium which ties him to the club until 2018. He netted 16 times in 31 appearances when City lifted the Premier League title in the 2013-14 campaign, but managed to score just four goals in 23 games last season.
Man City are supposedly determined to recruit young, English talent in the summer as they look to strengthen before the start of the new campaign.