The Greece international, who is currently on World Cup duty, joined the Whites in January for a fee in the region of £11million.
Injury and a lack of fitness limited the 26-year-old to just three appearances as the west London outfit were relegated from the Premier League.
It appears that Mitroglou is not wanted by manager Felix Magath as Fulham prepare to try and win promotion back to the Premier League.
Prior to his move to Craven Cottage, Mitroglou had scored 21 goals in 23 games for Olympiakos and Greee.