The Swans have had a respectable start to the season so far and currently find themselves eighth in the table, one point and one place behind Arsenal.
The departure of former manager Brendan Rodgers during the summer was expected to destabilise the club, but the Swans have defied expectations under current manager Michael Laudrup, with the Wales-based club earning the plaudits for their performances this season.
Szczesny admits he has been dazzled by some of Swansea's recent displays, and claims the Swans' attacking brand of football will provide a real challenge for the Gunners.
"I think they're a quality team, so it will be a very tough game and a very important game," Szczesny told Arsenal Player.
"They have changed their style a little bit, they don't keep possession for ages, and they are a little bit more direct.
"But they still try to play very good football and as a football fan,
"I appreciate that: I like watching them.
"Going forward they score a lot of goals, but hopefully they won't on Saturday.
"I have been watching them and they have impressed me.
"But we are very confident; we should be winning these kinds of games at home."
The Gunners suffered a shock 3-2 loss to Swansea in their last encounter, although Arsene Wenger's men did manage to claim a victory over the Swans early in the season.
"It was a very weird game last year - the goals we conceded were really weird," Szczesny reflected.
"Although we conceded three goals, they did not dominate possession that much - they still played well but we deserved at least a point.
"I hope we will play them like we did at home last season [when Arsenal won 1-0].
"We kept a clean sheet, they didn't really have a goalscoring opportunity and we managed a very solid performance.
"That is what we are looking for on Saturday."
Striker Lukas Podolski should return for the Gunners after recovering from illness but right-back Bacary Sagna is a major doubt for this game with a bruised foot.