The versatile 27-year-old has been with the Athens club since 2007 but has refused to sign a new contract and could move on in January.
And Torosidis, who is thought to be available for around £500,000, has signalled his intention to try his luck abroad.
"I'm not going to sign a new deal," said Torosidis, quoted in The Sun.
"I want to move abroad."
Fulham already have fellow Greek star Giorgos Karagounis at the club and Torosidis would strengthen their options due to his ability to play in midfield or anywhere on the right side of the pitch.