The Polish international spent last season away from the Emirates.
Picture Supplied by Action Images
The 26-year old impressed on loan at Roma last season and there are doubts as to whether he’d be happy playing second fiddle to Petr Cech at the Emirates next season.
“Right now I’m not thinking about my future,” Szczesny said.
Poland's Wojciech Szczesny in action with Northern Ireland's Conor Washington
“My teammates and I are focused exclusively on the Euros. I hope to achieve a good result with Poland, I’ll only think about other things once the tournament is over.”
The Polish international is keeping his cards close to his chest but an Arsenal exit seems likely if first-team football is at the forefront of his thinking.
Szczesny is currently on duty with Poland at the Euros and played well in their opening group game victory over Northern Ireland on Sunday.
Arsenal's Petr Cech celebrates at the end of the match
Petr Cech enjoyed a solid debut campaign with the Gunners and it’s hard to imagine another keeper claiming his number one spot.
Arsene Wenger faces a difficult task in finding a suitable number two, with the Standard’s report also claiming that current back-up stopper David Ospina is keen to move on after his lack of game time last season.
Sunderland's Steven Fletcher has a shot saved by Arsenal's David Ospina
The Gunners may well have to enter the market for goalkeeping cover should neither Szczesny or Ospina prove willing in what is shaping up to be a busy summer of transfer activity for the North London club.