The 19-year-old has fitted in seamlessly at the Emirates Stadium since he joined the Gunners from Southampton, playing at both full-back and centre-back.
Despite some initial doubts over whether he would be able to deal with life at Arsenal, Szczesny admits that Chambers has exceeded expectations.
"It is a strange one because I would imagine that to be very successful at 19 you need to be massively confident, maybe overconfident at times," he told the club's official website. "But Calum isn't - he's very humble, very quiet and he shows his confidence on the pitch.
"He is comfortable on the ball, he is comfortable defending and he is very strong as well. He has been a massive signing. The pressure was on him as well because he was 19, he came to a big club and he went straight into the starting XI but he has been coping very well."
Chambers has made 12 appearances in all competitions for Arsenal so far this season.