Bale came on as a second-half substitute and won the penalty which Cristiano Ronaldo converted to seal a 2-0 win for the hosts at Santiago Bernabeu on Saturday.
Reports in the Spanish media this month had claimed Bale was suffering from a major back problem - rumours which were promptly dismissed by the club - and the Wales international has now stressed he has no concerns over his long-term fitness.
It's been greatly exaggerated about my injury, the 24-year-old was quoted as saying by AS.
I'm over the injury I suffered. I had a small thigh issue and as a result I've not had a lot of playing time. I missed preseason and could not run or train without discomfort.
The truth is that it was not important. Everything is exaggerated enough. I'm already playing again.
Winning was very important for us today and I think we played well throughout the match.
We deserved the win and now I'm looking forward to facing the next two games.
