The Poland international was speaking after the Gunners’ emphatic win over north London rivals Tottenham Hotspur at Emirates Stadium.
Van Persie scored the equaliser in a game where Arsene Wenger’s side came back from two goals down to triumph 5-2 in a spectacular turnaround.
“He's not bad is he? He only scored one goal today though, which is really disappointing for him! We are used to him scoring a hat-trick,” he told the official Arsenal website.
“But he set up a couple and he was great. He worked very hard defensively, headed a few balls away when we defended corners and scored a fantastic goal.
“That's what he is all about - he is the best player in the Premier League and we are very pleased to have him.”
Szczesny’s assertion of Van Persie’s prominence among their Premier League counterparts is arguable, but there can be no debate as to his current supremacy in the scoring stakes.
The Dutchman has already found the net 23 times this season in the league – six more than closest contender Wayne Rooney.
It was a morale-boosting win for the Gunners after a disappointing week in which they were trounced 4-0 in Milan and dumped out of the FA Cup at the hands of Sunderland.
There has also been intense speculation regarding the future of Van Persie at Emirates Stadium and uncertainty about whether he will sign a new contract.
However, Szczesny expressed confidence over the possibility of the 28-year-old signing a new deal to stay on the red side of north London.
“I'm personally confident that he will stay at Arsenal. That is where he belongs and that is where he is at his very best,” he told The Evening Standard.
“Robin does his talking on the pitch by scoring all the goals for this club and I think that shows you his commitment. We are confident that he will be staying at Arsenal.”
The contract talks are set to begin in the summer and Arsenal still face a touch battle to secure Champions League football next season.
A key fixture in this race comes on Saturday when they travel to Anfield to face fellow fourth place chasers Liverpool.