Polish netminder hoping to have a breakthrough year for the Gunners
The Poland international has starting in net for four out of the Gunners six pre-season contests, and Fabianski is confident that he will be the starting goalkeeper when Arsenal take on Liverpool in their season opener.
"I hope it will be a breakthrough season for me,” Fabianski told The Mirror.
"I have a double task. I want to become the No1 in the Arsenal goal and that would help me to realise my second target - to be No1 in the national team.
“Of course I don't know if I will play but I do believe I will as I played in many of the pre-season friendlies.
"I am 25 years old, it is a good time to establish myself in goal for good."
Reports throughout the summer have linked Wenger with a move for veteran goalkeeper Mark Schwarzer from Fulham to replace Fabianski and Manuel Almunia as the starter.
However, the Polish goalkeeper insists that he is ready to have a good season and cement himself as the Gunners starter of the future.
"It was the same when I started at Legia Warsaw.
"Nobody knew me, there were arguments that I was not good enough to be No1 but I got that and moved to one of the biggest clubs in the world.
"I am ready for the next challenge. I've had no injuries recently, I've worked well and am really prepared to fight for the No1 position.
"I believe I am good enough to play regularly in a Premier League team."