Zamora has been a first-choice this season, despite his lack of goals.
And Dempsey told fulhamfc.com: "Bobby does a great job up there, allowing everybody else to get involved in the play," Dempsey explained. "He's a forward who will get a lot of assists for his team-mates, it's great when he scores goals as well but he also gets confidence from his ability to bring everybody into the game.
"I don't mind playing up there as well, I had a few chances and I enjoyed it. But wherever the team needs me to play I'm more than happy to play - whether it's up top or on the left."