The 32-year-old has scored just twice in 12 appearances for the Cottagers this season, a barren run that contributed to the struggles that cost Martin Jol his job.
Rene Meulensteen has taken over the managerial reins at Craven Cottage but he will have been rocked by the 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," said Dantchev.
"He would like, if possible, to find another option."
Turkish club Trabzonsport have been linked with Berbatov, but Dantchev suggested that 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 refused to comment on the situation.