The striker scored his first goal in the loss to Watford on Saturday.
The striker was secured on a deal until the end of the season in the January transfer window, as manager Alan Pardew looked to add some much needed goals to his side.
There are concerns that the player will take his time to reach full fitness though, having been out of the game since leaving Tottenham Hotspur in September last year.
However he insists that fitness is not an issue after he managed 90 minutes in Saturday’s loss to Watford.
“I have never struggled when it comes to fitness levels," Adebayor told cpfc.co.uk
"I have been working hard when I was away from football, when I was in Africa with my personal trainer and my friends.
“Getting 90 minutes under my belt is positive, it's good."
The Eagles will now be hoping that Adebayor can maintain his fitness, and more importantly add to the goal he grabbed against the Hornets.
Palace could certainly do with some more goals in their side, with them only having managed 27 in 26 games so far this season, the joint fourth lowest in the division.
In fact, their top goalscorers are Yohan Cabaye and defender Scott Dann with five each; a clear indication of how much they need Adebayor fit and firing in the remaining games this season.