While Dzeko will take the headlines for his late goal, City can be just as thankful to John Arne Riise for their winner.
The Norwegian left-back failed to clear a Gael Clichy cross, allowing Dzeko to rifle home inside the box and secure three points.
"It was a mistimed ball," Fulham manager Jol said. "I would hit it with my right foot instead of trying to head it. It was a bad clearance.
"I think he will be disappointed because the mistake he made they punished.
"They are a very good team but there is always a possibility against them to play your football like, for example, Arsenal did last week.
"They have to punish them and we couldn't play our style, especially in the second half.
"We couldn't keep the ball, they were stronger than us and more eager to score.
"The only thing we could do was defend, defend, defend and that is probably not enough if you would like a result against them."