Manuel Pellegrini's side cruised into the fourth round of the FA Cup with an emphatic victory in the third-round replay against the Championship outfit, who had held City to a 1-1 draw at Ewood Park earlier this month.
But Blackburn could not replicate that display as City made it 99 goals in all competitions this season thanks to braces from Alvaro Negredo and Dzeko, as well as a strike from Sergio Aguero in his first game back from a calf injury sustained in December.
Dzeko, however, insists that City are keeping their feet on the ground, despite the excellent form displayed by Pellegrini's men in the Chilean's first season in charge.
"I don't think it was easy (against Blackburn) especially in the first half," Dzeko told ITV.
"(The goal scored at the end of the first half) it was very important for us, and also the first goal in the second. As usual we scored some more.
"We are still there for four trophies, but our target is to win every next game."
"Lately I'm playing a lot of games, I feel good and the team is winning," he added.
"It's great news for the team because he (Aguero) is one of the important players for the team."
