The Italian press has fuelled speculation that the Bosnia and Herzegovina international will move to the Giallorossi as part of a deal that would see Roma playmaker Adem Ljajic join City.
The rumours were boosted when Roma midfielder Miralem Pjanic said earlier this week that his compatriot Dzeko would go "running" to Roma - but his agent Irfan Redzepagic has rebutted that claim.
"I was frankly surprised by Pjanic's comments, unless he knows something that I don't," Redzepagic told Italian radio station Rete Sport. "I have had no contact with Roma, nor am I aware of any talks between the two clubs. It's not a financial issue, he simply doesn't want to leave the Citizens."
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Dzeko joined City from Wolfsburg in 2011 and is under contract with City for another three seasons.
The 29-year-old endured a difficult campaign, making just 12 Premier League starts for Manuel Pellegrini's side and scoring six goals.
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