The Zombieland actor has never taken a role in a movie sequel before, but is expected to feature heavily in the proposed Hunger Games trilogy.
And Harrelson hopes the rest of the film franchise is as exciting as the first instalment - because his character Haymitch Abernathy features in all of Suzanne Collins' popular book series.
He tells Britain's The Metro, ""It's hard to say what the higher-ups are thinking but, for me, I just want this to be a great movie. I can't think about the next movie or if there's a movie after that.
""In fact, in our culture I rarely see sequels that are as good as the original. I hope this movie's great. As for the others, I don't know. But my eldest daughters have read all the books and love them.""