The Gunners are preparing for life after Arsene Wenger and are beginning to identify potential transfer targets ahead of the new manager’s arrival.
Kurzawa has previously been linked with both Manchester United and Manchester City, although interest in the defender appears to have cooled.
And, according to RMC, Arsenal are looking to take advantage and thrash out a deal for the France international.
The Gunners are eyeing defensive reinforcements this summer with the future of full-back Hector Bellerin still uncertain.
Kurzawa, who has made 28 appearances this term for PSG scoring five times, has a contract in the French capital until 2020.