The ex-Manchester United man recently announced that he will join the San Siro giants once his contract expires at the end of the season, as a part of the Italians’ big transfer plans.
Among the host of names being linked with the club Dzeko has featured prominently, with the Bosnian said to be growing frustrated by a lack of playing time at the Etihad Stadium.
Vidic is rumoured to be keen to link up with his current local rival, and is ready to persuade him to make the switch.
The Serbian is known to be an influential figure and is respected in the game due to his achievements, which could be enough to convince Dzeko to choose Inter over the likes of Borussia Dortmund and Valencia.
The Eastern European striker joined City from Wolfsburg in 2011 with a reputation as one of the continent’s top front-men.
However he has failed to hold down a regular starting berth, and is believed to have grown disillusioned after sliding behind both Sergio Aguero and Alvaro Negredo in the pecking order at the club of late.