Pardew believes his team have as much right as any of those teams to believe they could go all the way and win the final in Amsterdam on May 15.
Pardew said: "Now we are in what I would call the real nitty-gritty of the competition, I think all 16 teams left are really focused on it.
"This is a big trophy to win for all the clubs, and I include the bigger ones such as Chelsea. Trust me on that.
"Do we have a chance to win? I think we have as good a chance as anyone else."