The Bosnian got the opener just before half time but Davide Frattesi equalised for Sassuolo on the hour mark.
Dzeko popped up again though with a header when there was just 15 minutes left to play, and that proved to be the winner.
Inzaghi alters his Inter approach
Inter were managing to find a good amount of space behind Sassuolo in the first half as they were more than willing to let the hosts have a lot of the ball. That seemed to be calculated by Simone Inzaghi who used a similar tactic against Barcelona in the Champions League.
The opening goal didn’t come from a swift break though. Inter got a corner just as the first half was coming to a close and the ball was bundled into the net by Dzeko to give Inter hope of a much-needed Serie A victory.
In the second half though, the Neroverdi hit back on the hour mark. The goal came from Frattesi who has been in superb form this season. Rogerio ran with the ball down the left and put in one of his superb crosses toward the back post. That is where Frattesi was waiting to volley it in and draw Alessio Dionisi’s side level.
Dzeko got the 101st goal of his Serie A career too in this game as in the 75th minute, he planted a header into the bottom corner to double his tally.
The Nerazzurri held on made it two wins in two which was very much needed for Simone Inzaghi.
They now turn their attention to the Champions League match against Barcelona which takes place on Wednesday.