The French striker put the Blues 2-1 up in the second half to help set up an impressive win for David Moyes' side at Craven Cottage.
Saha was pleased with his goal and admitted it was a "relief" to find the back of the net.
"It's always good to score. I'm always looking to score against whoever I'm playing against, not just because they are one of my former clubs," he said on the club's website.
"I was in front of our fans, and it was a very intense moment because getting the three points was very important for us. I wasn't thinking that I was at Fulham.
"It was a big relief for me to score. It's been seven months since my injury and that last goal I scored was against Fulham. As a striker, it's all about scoring goals."
Saha feels he is now virtually fully fit again after a lengthy battle with injury and is hoping to secure a regular starting role.
"I feel close to full fitness now," he added. "Every minute I play is a boost. There are some big games coming so it's a big week for us and everyone will get a chance to play their part.
"I'm pleased with how I am, but it's all about goals. I feel ready to start against Chelsea."