Arsenal were keen on signing the goalkeeper over the summer, but Fulham managed to keep the Australian at the club.
Fulham boss Mark Hughes has admitted he would like Schwarzer to sign a new deal with the club.
“A lot can happen between now and January. What will be will be,” Schwarzer told the Australian media.
“If there’s an opportunity in January, then we’ll explore it.”
“It was probably one of my hardest periods ever,” added Schwarzer on wanting a move to Arsenal.
“This is the only time in my career I have ever tried to force an issue.
“I don’t have time on my side. If you were a 30-year-old you would walk away and say ‘fair enough, I understand’.
“But I’m almost 38 and I want to fulfil an ambition. The sheer opportunity that was there …”
Schwarzer continued: “That was very flattering [the interest from Arsenal], but sometimes you’ve just got to grin and bear it and just get on with normal life again as much as possible,” he said.
“You just have to get your head down and work as hard as possible.
“It can affect your day-to-day life, and ultimately I am judged on how I perform week in, week out.
“If that performance drops, then no club is going to be interested in me.
“The bottom line is I’ve got to play well wherever I am.”
