The Poland international made two vital saves in the Gunners' penalty shootout victory, as they eventually overcame the Championship outfit in the semi-final at Wembley.
His first-team opportunities have been limited due to the form of number one keeper Wojciech Szczesny, but he is confident that he can keep his place for next month's showpiece occasion.
"I don't know if I will keep my place for the final, it's up to the boss but after my performance I hope that I can," The Mirror quotes him as saying.
"It's always nice to win. I don't know if it proves a point, to be honest when you play you don't think about any of that, for me it's all about winning the game, focusing on the moment and the day.
"That's all we wanted, a win, we weren't paying any attention to any outside things. In the club we are all quite smart, we knew we had to win the game because by winning game it just picks us up as players."
Arsenal will play Hull City in the FA Cup final at Wembley on May 17.