Michael Laudrup's side are without a win in their last six Premier League games, which has seen their impressive season stagnate.
"We have played against very good opponents in the last few months, but in most of the games we haven't played badly," Vorm told the club's official website.
"We can beat anyone, and last season showed that we can beat [Manchester City] even though they went on to win the title.
"If we can perform like we can, but for longer than 45 or 60 minutes, then we have a chance to beat them."
Swansea are currently ninth in the Premier League.