The Gunners tried to sign Schwarzer over the summer but Fulham refused to sell the Australian goalkeeper.
Schwarzer told Sky Sports, when asked if he could join Arsenal in January: “Who knows, we will have to wait and see.
“I’m very happy at Fulham. The supporters have been unbelievable and I’ve enjoyed every minute.
“It’s been a very hectic two months or so and the fans have been great to me. I am enjoying my football again.”
Schwarzer added: “I think when you look at the opportunity that was in front of me, I don’t think anyone can begrudge me exploring that opportunity.
“The club actually asked me if I was interested in exploring the opportunity, and I was. I’m not getting any younger, unfortunately, and you always want to better yourself.”
