The Poland goalkeeper is being linked with Barcelona in the Catalan press.
But he told talkSPORT: "I am doing my best for the team. If I can build up my reputation then that is very good. I feel I have the support of the fans, the support of my teammates and my manager so it is all in my hands.
"I'm just focussed on doing my job but there is still a lot of room for improvement. I am confident I can make it at Arsenal because I don't think I have yet but I'm just going to keep working hard and keep doing my best and if I can be the next David Seaman as the fans are expecting then I will be very happy."