Dzeko has been linked with the Nerazzurri as club owner Erick Thohir admits they're seeking to buy "a top player" this summer.
City's asking price would be too rich for Inter to compete for, but they could include a player in a part-swap proposal.
Aware of City's goalkeeper problems, Corriere dello Sport says Inter are willing to include Samir Handanovic in a bid for Dzeko.
Handanovic is rated among the best keepers on the continent and would be an attractive option for City boss Manuel Pellegrini.
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