Szczesny has spent the past two seasons on loan at Roma after losing his place to Petr Cech and David Ospina at Arsenal.
But despite the setback the Poland international has since developed into one of Europe's top goalkeepers during his time in Italy.
Reports this week suggested Juventus viewed Szczesny as a replacement for 39-year-old Gianluigi Buffon with a £14million deal said to have been agreed for Szczesny.
However Szczesny's agent told Polish paper Przeglad Sportowy no agreement had been found.
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And it was claimed no decision would be made until the 27-year-old meets Arsene Wenger for talks.
Last month Szczesny spoke of the improvement in his game since moving to Italy and said he would start thinking about his future soon.
He said: “I think I can be better now than I thought I could be when I was back at Arsenal.
Wojciech Szczesny impressed on loan at Roma
"I have grown more than I would have hoped for. Now I think with the right work, the right attitude, I can go a long way. I always want to be the best but now I feel a bit closer to it.
"When I have my head on the 2017-18 season, then we make a decision – first Arsenal has to and then I have to.
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"I want to make sure I take my time, clear my head of this season, and then focus on doing the right thing. What that is time will show."