The 20-year old midfielder was struck by a knee injury whilst on a short-term deal agreement at the Molineux Stadium last season and there has been talk of another loan with the Championship club with suggestions Frimpong is keen.
But Solbakken, who was not around when Frimpong played with Wolves, says he will have to wait and see how the Gunners youngster is tracking from a fitness viewpoint.
"The situation is he wants to come to us," Solbakken told the Express and Star. "But at the moment, he's coming back from the injury he got here.
"He has another small injury now and he hasn't played in Arsenal reserves' last two or three games.
"He has to get back to his best because he's only between 70 and 85 per cent fit which makes it hard for a midfielder such as David Davis, who's waiting for his chance.
"If we brought in Frimpong now and he isn't 100 per cent, what does it say about Davis?
"Frimpong can be a possibility for us in January when things might look differently.
"He'll be 100 per cent fit then if he doesn't get another injury."