The 26-year-old actor has met with movie bosses about a role in the new episode of the sci-fi franchise, which has recently been acquired by Disney, reported MTV online.
"Yeah, I just went and met with them. So I don't know. It would be cool. I love the 'Star Wars' movies, but... Who knows?" Efron said.
'Star Wars: Episode VII' will be directed by JJ Abrams and actors linked to roles include Michael Fassbender, Michael B Jordan, Saoirse Ronan, Jesse Plemons, Adam Driver and Hugo Weaving.
Carrie Fisher, 57, also recently told how she'd like to play her character, Princess Leia, again, saying, "I'd like to wear my old cinnamon buns hairstyle again - but with white hair. I think that would be funny."
JJ has yet to announce any firm cast decisions, but recently said the film's script is complete.
'Star Wars: Episode VII' is tentatively scheduled for release in December 2015.