He has only made one appearance since moving to Craven Cottage last month but is confident he will get more regular playing time.
Frimpong said: "I hope to play in most of the games. I know it will be hard to play in every game when you have got great players here, I understand that.
"I'd consider it an achievement if I played a good amount of matches, made a good name for myself with the Fulham fans and showed my team-mates that I can help them. If I can achieve all these things come the end of the season, then I'll be happy with my work."