With Inter signing Romelu Lukaku this summer and Lautaro Martinez unlikely to leave, the Serie A giants are open to selling Dzeko this summer.
The veteran forward scored 17 times last season and he has entered the final year of his contract at the San Siro.
A move to the Premier League has been mooted with Everton, Leicester and Wolves are all keeping tabs on the forward as they eye strengthening their attacking options.
Juventus also made an approach for him, but according to Italian daily Gazzetta dello Sport, he has rebuffed a move to the Turin club.
The Bianconeri are in the market for a striker as they want an alternative to Dusan Vlahovic in the squad.
Dzeko was approached, but the Bosnian was not interested in a move to the Serie A giants this summer.
The forward is considering his options and has a real chance to return to the Premier League, where he previously played for Manchester City.
It remains to be seen whether he agrees to a return to England amidst interest from Everton, Leicester and Wolves.
