The 32-year-old, who is out of contract in the summer, has scored two goals in 12 games for the Cottagers so far this season.
"I don't usually speculate as nobody knows what will happen in January but what I can tell you is he is not happy at Fulham," he is quoted as saying by Sky Sports News. "He would like, if possible, to find another option.
"I cannot comment [on whether there has been any approach] but the priority is to find a solution to stay in England."
Berbatov joined Fulham from Manchester United in August 2012.