The 32-year-old Bulgarian striker is one of the club's marquee players but has scored just once in the Barclays Premier League this season - a barren run that has contributed to the struggles that cost Martin Jol his job as manager.
Rene Meulensteen took the reins this week charged with keeping the side in the division but will be rocked by news that Berbatov, whose contract expires in the summer, is looking for a way out.
"I don't usually speculate as nobody knows what will happen in January but what I can tell you is he (Berbatov) is not happy at Fulham," Dantchev told Press Association Sport.
"He would like, if possible, to find another option."
Despite a poor campaign by his own standards, Berbatov has the star power to attract interest from clubs throughout Europe, but Dantchev suggested his client would prefer to remain in the Premier League.
"I cannot comment (on whether there has been any approach) but the priority is to find a solution to stay in England," he said.
Fulham, who take on Tottenham on Wednesday night in Meulensteen's first match in charge, refused to comment on the situation.