Defeat against Sunderland coupled with United triumphing over Newcastle in a seven-goal thriller saw City lose ground on their bitter rivals at the summit on Boxing Day.
However, after City’s turbulent 4-3 win over Norwich on Saturday, Dzeko insisted that his side remain calm about their prospects of topping the league come May.
Speaking to reporters at Carrow Road, Dzeko said: "It [the amount of points between them and United] looks a lot, of course, but nothing is finished. We will fight until the end.
"It is still open. There are so many games to play. There is a chance [of winning the title again] and it is our main target, but as I said, it is too early to talk about the title.
"Last year we got five points back in two games. This is not a problem."
Roberto Mancini had rued his strikers' recent profligacy in the build-up to the trip to Norfolk, and Dzeko was delighted to have responded by scoring twice and claiming a third.
He said: "I didn’t hear exactly what he said, but I saw he said the strikers weren’t in form and not scoring goals, but we scored today and that is good for us.
"Even the Sunderland game we deserved to win, but we didn’t score goals and that was unlucky for us. But we came back today and it was a good performance.
"It’s not the first time. He gave me the chance to play today and I think I paid him back. We will see what the future brings."
Samir Nasri saw red in the game at Carrow Road for his headbutt on Sebastien Bassong, a fact which the former Wolfsburg striker believes made life difficult for his side.
"It was hard to play when we were one player down," he continued. "But we did it once before against West Bromwich, and here we did it again very well. We deserved this win.
"I don’t know if it was a red card or not, I didn’t see exactly what happened, but I think it was harsh.
"I think we played a good game. They were always there and it was a hard game to play. It was also hard to watch when the manager took me off, but I am happy.
"I scored three goals and I am happy for that, but the manager decided [to substitute him] and I can’t be unhappy with that."