Dzeko scored twice for the 2-0 win at San Siro stadium.
"This is what Inter signed me for and I am trying to give my contribution," Dzeko told Sky Italia.
“We made a lot of mistakes in the first half and their goalkeeper did really well too. You need patience at this level, we kept a clean sheet and scored twice in the second half. Hopefully, this will be sufficient."
He added: “These are three fundamental points and now we are close to our objective. The first half it seemed as if the goal was cursed, the ball just didn't want to go in, we had two goals disallowed… Fortunately we got there in the end.
“The coach told us at half-time to just continue like this."
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