Fabianski has played every game for the Gunners on their way to Wembley and saved two penalties in the semi-final shootout victory over Wigan Athletic on Saturday.
Szczesny said: "It's up to the manager who plays. I think Lukasz has done really well and deserves a lot of credit but I would love to play, obviously.
"I'm an Arsenal fan and I just want us to get the trophy. It's not about me playing. Lukasz has been doing really well and he was our shootout hero at Wembley, so I was happy for him."
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