The City striker shone in victory over Sunderland in the Asian Trophy final in Hong Kong.
Dzeko told Sky Sports: "Two games, two wins. It is definitely good after we lost the first two games of pre-season. I think it was very useful for us and also for the coach to see his new players."
He added: "We had a good pre-season with the new manager and all of us are definitely looking forward to the Premier League. We want to achieve some good things next season."