Dzeko determined to be top man at Man City
"There is myself and three fantastic strikers so obviously we can't all play at the same time so sometimes it can be difficult to find your rhythm," he told the Manchester Evening News.
"The more games you play, the more goals you are likely to score but with so many good strikers at the club, that's how it is going to be and as a player, you accept that and just try your best each time you play and that's what I do and will continue to do.
"Every time I see a paper - for what seems like for a year or more - there is a story saying that I am leaving City or that I want to go.
"But I've never said that so the stories don't come from me - I've always wanted to stay at City and fight for my place and my motto has always been: 'Never give up'.
"I hope the City fans, who have always been fantastic towards me, have seen I can score some important goals for the team and that's what I want to carry on doing."