The 38-year old Australia national team goalkeeper has played in the UEFA Cup and Europa League will Middlesbrough and Fulham but is keen to get his chance in Europe's premier club competition before his career is over.
Schwarzer was heavily linked with a move to Arsenal in the European summer and admits he would love to take that opportunity if it were to present itself again.
"That gave me an appetite to play European football. And Champions League football is something I've never had before.
"You have to test yourself against the very best and they (Arsenal) play Champions League football.
"I pushed pretty hard in the summer," he added. "I'm not getting any younger. Any footballer would be crazy not to want to try to explore that opportunity.
"The important thing for me was to get my head clear and get down to some training and playing close to my best again, if not better."
And Schwarzer said he thinks he still has plenty to give the game, even at his age.
"I really believe you have to grow continuously as a footballer and not stop just because you are the tender age of 38," he added further.
"Edwin van der Sar, who's 40, is a great example. He's inspiring. I want to continue like Edwin's doing."