Anderson joined Doncaster on a month-long deal at the end of September, and he has immediately gone into the Yorkshire side's starting line-up and impressed.
It is the 20-year-old's first taste of first-team action in the Football League, and Anderson is hopeful of extending his stay at the Keepmoat Stadium.
"It’s a month at the moment but I’d love to stay a bit longer and get more league appearances under my belt,” he said.
“Hopefully getting more goals too, and pushing the team up the league."
Anderson arrived at Palace from Barton Rovers and his form for their under-21 side has created a lot of hype around his ability.
The rapid striker has proved to be a regular scorer, and he is already proving capable of playing at League One level, despite his lack of experience.
Anderson has scored twice in his first four appearances for Doncaster, quickly establishing himself as one of the side's main goal threats.
Despite his promising displays, the hot prospect still feels that it could be some time before he makes the breakthrough at Palace.
“Hopefully some time in the near future I’ll get the chance [at Palace] and just do what I do, but I wouldn’t say any time soon,” Anderson added.
“I’ve trained with the first team and I came off the bench a few times in pre-season but right now I’m enjoying playing games.”