The Colombian, who suffered the complaint during the World Cup this summer, joined the Gunners from Ligue 1 outfit Nice in July, but he has so far spent his time at the Emirates Stadium on the sidelines.
However, the 26-year-old has revealed that he is now "100% recovered" from that problem.
"Physically I feel strong and 100% recovered. I was injured when I arrived to the team and that's not an ideal situation. Injuries don't help at all when you are trying to settle in, but thank God now I am in a good condition," he told the club's official website.
Ospina is believed to have cost the Gunners £3m.