According to the Daily Star, producers are hoping to cast the footballer turned actor as an evil alien. Series star Matt Smith had previously suggested that Cantona should play a villain on the show.
A BBC insider apparently told the paper: "Matt has made a huge impression. The writers and producers all value his input and give his ideas careful consideration."
"They like the thought of a French baddie and Eric would be perfect. He’s got acting experience and has charisma.”
Cantona ended his professional footballing career at Manchester United in 1997. He has since starred opposite Cate Blanchett in the 1998 film Elizabeth and played himself in the 2009 Ken Loach film Looking for Eric.
Doctor Who is due to return to BBC One for a special episode this Christmas.