The Italian outfit are among the clubs to have been credited with an interest, but Dzeko's representative Irfan Redzepagic says he has not been approached by anyone.
The agent told tuttomercatoweb.com: "Are Inter Milan interested in him for next summer? I know nothing.
"Inter have never contacted me and I think the answer would be obvious.
"Edin is happy at Manchester City and he's not going to move from there, neither in January nor in summer.
"He still has two-and-a half years on his contract and there is no reason to talk about the future. And then I repeat: neither Inter nor any other club have called me. "