The 26-year-old goalkeeper left the Emirates following the arrival of Petr Cech from Chelsea in 2015, and Boniek reckons the Pole could stay in Italy if Wenger signs a new deal at the end of the season.
Speaking to Centro Suono Sport Radio, Boniek said on the matter:
‘I had dinner with Szczesny and he told me that he would like to stay at Rome.
‘If Wenger stays, I don’t think he will go back to London, while his contract expires in 2019 anyway.
‘I can therefore see two possibilities: either Arsenal recall him, or they name their price. It’s 100 per cent certain, though, that he would like to remain in the [Italian] capital.’
Szczesny featured regularly for Roma last season and remains a key member of Luciano Spalletti’s side.
The brash shot-stopper has previously stated that his future at Arsenal remains unclear and if Boniek’s comments are accurate then Szczesny could look to make a permanent transfer away from the Emirates this summer.