Frimpong is at Craven Cottage until the end of the season in an effort to secure first-team football after recovering from a pair of knee ligament injuries that have hampered the youngster's progress.
The Ghanaian told The Sun: "I have had loads of injuries but I mean to get over it just like Jack has.
"The boss at Arsenal, Arsene Wenger, told me to come here and get some games under my belt because there is no point sitting on the bench at Arsenal.
"Then I'll go back next season and see what happens."
The 21-year-old made his Fulham debut in Saturday's 0-0 draw with Norwich City at Carrow Road.