The Gunners, who face a trip to Swansea in the FA Cup on Sunday, welcome Manchester City to north London seven days later.
"I think it will be a very good test for us," Szczesny said. "We are confident because we are on a good run.
"It is not just two tough games, because we have Liverpool soon after as well.
"It could not come at a better time because we are confident and playing well.
"Obviously we had a little setback at Southampton, but there is a very good sprit in the dressing room."