The 22-year-old arrives on a three-and-a-half year deal and will look to help the German side return to the Bundesliga this season from the second tier.
"Christopher Drazan's a young player with perspective,” said FCK coach Franco Foda.
He plays on the left side, he is fast, dynamic, and suggests good crosses, and we are confident that he will help us "
The German club are also giving a trial to Ghana teenager Richard Ofori.
The Tudu Mighty Jets centre-back may also train with Belgian side Lierse SK if Kaiserslautern opt not to offer him a deal.