The 20-year-old ruptured the anterior cruciate ligament in his right knee while playing on loan for Wolves against QPR in February, and missed the rest of last season.
"The good news is that Frimpong will be on the bench, and if possible, we will put him on," the manager told Arsenal Player.
"It's a big moment because he has suffered for a long time and has worked extremely hard, like Jack [Wilshere].
"Once you're back, you want so much a chance to be involved. So I want to give him a chance to be involved at least. Physically Emmanuel has never been as fit as he is now. That should come out in the next two months.
"You need matches and certainly he will be involved when we play at West Brom [on Monday, October 1] with the under-21s. He's a competitive boy and a fighter. Of course this type of player always wants to be involved."