Agent Rune Hauge insists Hangeland, 31, is in no hurry to sort out a deal and there is interest from clubs in England and abroad.
But Fulham boss Martin Jol believes Hangeland will stay with the Cottagers.
The Dutchman said: "He loves this club. Maybe a long time ago I would have worried a bit but not now.
"I worry about the next game, that's my only little concern. I feel that we can keep Brede here."