The German admits he'd welcome working with Reds boss Jurgen Klopp in the future.
Asked about the prospect of playing for Liverpool, Trapp admitted to Sport1: "It's an amazing club with a great tradition.
"And of course, I'm a fan of the Premier League. The Reds are not without interest, they have already won many titles and Jürgen Klopp is of course a very good coach."
"I have not thought of possible clubs yet. However, many things can happen in football. Even if I'm not the most patient person, I have to stay cool," he added.