The Bosnian ace arrived at the Etihad Stadium in 2011 with a reputation as one of Europe’s finest front-men following an excellent spell at Wolfsburg.
But despite helping City to Premier League glory he has failed to establish himself at the club during his spell there.
Manuel Pellegrini looked set to put his faith in the 27-year-old at the start of the season, but he has since shifted to a preferred attacking duo of Sergio Aguero and Alvaro Negredo.
This has alerted Inter, who are ready to offer Dzeko an escape route.
The Serie A giants are set for a big summer spend following their recent takeover, and have made securing a top class goal-getter a priority.
Dzeko is seen as that man, and reports suggest that the Italian are confident that the lure of regular playing time in his peak years may be enough to push through a deal.
Pablo Osvaldo of Southampton – currently on loan at Juventus – is also a target.