"I met some very nice people here and whatever happens next season or in the future, I want people to know that I love this club and I will always be a Fulham fan," Goma told the club's website.
"It was very important for my career and I had a very good time here. I loved it from the first time I came here. It was simple and human, the atmosphere was great, as was the fact that there were, and still are, no 'superstars' at this club."
Fulham are linked with a possible £4m move for Chelsea defender Robert Huth. The German heads to the World Cup with his country this summer but Mourinho would listen to offers for his player.
Chris Coleman is also hoping to persuede Mourinho to part with Wayne Bridge who has been on load at The Cottage.