The 25-year-old has notched 70 goals in his past 100 appearances for the Bundesliga side - including a headline-grabbing four against Real Madrid as Dortmund reached the Champions League final last season.
Arsenal currently lead Group F following wins over Napoli and Marseille and, while praising his compatriot's talents, Szczesny is confident of bettering Dortmund after a 2-1 win in two years ago.
"They are quality players, obviously I've known them for a very long time so I know what they are capable of," Szczesny told the club's official website.
"Certainly Lewandowski is one of the best you can find in Europe so he will be dangerous, but we played against them before [in 2011] and we've handled him quite well so I hope we can do that again
.
