He has played just twice this season — in the Carling Cup — and has staged showdown talks with boss Arsene Wenger.
Fabianski, 26, said: "I had a chat with the boss a few days ago and it was quite an intensive one.
"It was me who asked to speak although we will have a few more chats. I want my situation to be resolved in the nearest future because I want to play at Euro 2012.
"I hope Wenger will understand me and we find a solution.
"I want to play for Arsenal but if not, I will have to go somewhere else, even if it is on loan."