Podolski was impressive for victory at Liverpool on Sunday.
"If we can play like we did at Liverpool, then we will fight for the title," he said.
"We are happy with the way we played. But it must be the start for us. The Premier League is very hard to win. It is not like Spain, where you have only Real Madrid and Barcelona fighting for La Liga.
"In the Premier League, you have five or six teams who want the title. We are one of those teams and we must fight for it.
"We can be in the top four for sure if we play like this."