The midfielder suffered the setback on-loan at Wolves.
Frimpong told arsenal.com: "Manny is a very strong individual. He is an exceptional lad, and we really like him. He has a bit of character and has gone into the first team and taken it by storm. His strength is his strength and he is very committed.
"He is a born winner and wants to win on every occasion and the first team have taken him into their hearts as well. Hopefully he will get over this little blip of his injury and he will come back stronger and force his way into the first team next season."