The 27-year-old Bosnian struggled to command a first-team spot last season as City failed to defend their Premier League title, but the forward was on form to score twice in his side's 5-3 Audi Cup win over Milan on Wednesday.
And with the Chilean boss telling Dzeko he will lead the line as the club look to wrestle the league crown back from rivals Manchester United, he admits that he will head into the new season with a new lease of life.
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"I feel different, better," he told the club's official website.
"The manager gives me more confidence and that is a good thing. I think that you can see that on the pitch, how I play and I feel different because of that, because someone who is important has trust in you."
Stevan Jovetic made his debut in the victory at the Allianz Arena on Wednesday, and Dzeko believes that the Montenegro international will play an important role for City this season.
"We played a fantastic game in the first 30 minutes," he continued. "It was his (Jovetic's) first game for City and he showed that he will be a big name for us in the next season."
Jovetic, a close-season signing from Fiorentina, was pleased with his debut performance and is targeting full fitness come the start of the campaign.
"I am so happy with my debut and also satisfied with my game but the most important thing is that we won," he said.
"I feel good. I have three weeks until the beginning of the Premier League and then I will feel good."