The 23-year old Poland international has made the Gunners goalkeeping position his own this season after experiencing omission last term and Wenger feels he has improved since that disappointment.
Tuesday's 2-0 Champions League win over Marseille was Szczesny's 50th clean sheet and Wenger can see a lot more of that type of thing occurring in north London throughout the former Brentford loanee's career.
"Yes, he can be one of the best," the manager told Arsenal Player.
"You have to question a little bit the defenders as well (when you consider clean sheet stats) because you're part of a team and sometimes too many individual stats can lead you to conclusions that are not as obvious as that.
"But what I am sure is that he has the potential to be a historical goalkeeper for Arsenal Football Club. That will depend on how much he will continue to focus, to have the desire to be better, to have the desire to put the hard work in.
"If you look around at different clubs you see how quickly a goalkeeper can lose confidence, how quickly a goalkeeper can lose all his qualities. The level of urgency in this position has to be absolutely 100 per cent.
"He is a very young man. I personally believe his composure is better, his reading of the game is better, his level of concentration is much stronger and that comes out with his numbers. He is still a very young goalkeeper because he's at an age where other goalkeepers start to play.
"He has already a vast experience. That's why I think it's very good news for the club that he has extended his contract. But rightly so as well because this club has given him a huge chance at a very young age - and that is not common at in the top, top clubs."
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