The Gunners are in talks with the Ligue 1 champions over a move for the France international left-back, who has just six months left of his current contract.
The north London club are pushing to get a deal done for a nominal fee for the 27-year-old, who moved to PSG from Monaco in 2015 in a deal worth close to €22 million (£16m/$25m).
Since then he has won three league titles while at Parc des Princes, as well as three Coupes de France and three Coupes de Ligue.
He has fallen down the pecking order in the past 12 months, however, and has also suffered several injury issues which have limited his game time since his move to the French capital.
Kurzawa did start for PSG on Wednesday night, however, as the league leaders claimed a 4-1 win at Monaco. It was his 13th appearance in all competitions this season.
Arsenal – who have limited finances this month – have identified the experienced Kurzawa as good value for money given his current contractual situation, and his arrival would certainly be a boost to Mikel Arteta, who has seen his options limited at left-back due to injuries.