Riise's contract expires at the end of the season and he has yet to hold talks over an extension because he has kept his focus on trying to keep Fulham in the Premier League.
Fulham lost their fight for survival at the weekend and can now start to rebuild for life in the Championship, and Riise insists that he would be keen to help them bounce back if a deal can be agreed that suits all parties.
"My contract is up now. If I'm here or not next season I don't know, but Fulham will always be in my heart," Riise told the Fulham & Hammersmith Chronicle.
"I haven't spoken to the club because my focus has been keeping the club in the Premier League. If they want to keep me and everything is right for me then I'll stay."
Riise has been with Fulham since 2011 and made his 100th appearance for the club in Saturday's 4-1 defeat at Stoke City.
It was a result which sealed Fulham's demise, together with Sunderland's win at Manchester United, and Riise admits it was the low point of his career.
"I'm absolutely gutted," he said. "This fantastic club belongs in the Premier League, so there were a lot of sad players in the dressing room.
"At the end of the day we haven't been good enough during the season. The three bottom clubs deserve to go down.
"You have to perform at the highest level week in, week out, and we haven't done that in certain games.
"It's the first time I've experienced this kind of feeling. In my whole I career I thought about winning titles. I never for one second believed we would go down."