Speaking to the official Liverpool FC website, Dudek said: "It is definitely a game we can win but we know it is also one we can lose because Arsenal are good.
"Manchester United were in a bad position a few weeks ago and have since won six in a row. That is the sort of run we are looking to put together now.
"What happened at Southampton is history and we have a chance at the weekend to remind everyone what a good side we are.
"We want to start climbing the table again and there's no better time to start doing it than at Arsenal."