Since the Bosnia-Herzegovina international's ?27million move from Wolfsburg last month he has scored two goals - both against League One side Notts County - in eight appearances.
His strike was the fourth goal in the 5-0 FA Cup fourth round replay win over County on Sunday and came in the 89th minute, although he could have added another in added time when clean through only to shoot straight at goalkeeper Stuart Nelson.
Dzeko admits he is still trying to adapt to the more physical nature of football in this country but has no doubts he will get to grips with the challenge.
"It's harder here but I will get used to it. It is something new for me," he said. "The referees don't whistle for everything here - in the Bundesliga every small contact is a foul. The coach (Roberto Mancini) says to me it is different in Italy and Germany as the referees whistle everything. I hope I can get used to it, and have to get stronger. I have to play stronger.
"In some situations in Germany where I am not so strong it is no problem but in England it is different. You have to fight for every ball. I am okay mentally. When I don't score for two or three games and then lose the ball I always keep my head up."