Fulham boss Martin Jol expects to discuss new terms with the Norway defender in December.
"I'm keen to talk," Hangeland told the Fulham Chronicle. "There's been some speculation linking me with other clubs but I'm not sure how concrete it was.
"I've really enjoyed my time at Fulham and loved every minute of it.
"Maybe there's more to come.
"I just want to keep doing the best I can for the club."