Dzeko impressed in his Premier League debut in the 4-3 win over Wolves on Saturday.
The Bosnian joined City in a £27million deal from Wolfsburg earlier this month.
“The game is different,” admitted Dzeko. “It is harder than Germany.
“It is probably going to take me a few games to find my feet, but I am very happy to be here and if we keep winning there will be no problem.”
