Kurzawa will be available on a free transfer this summer and already has a host of interested suitors including Barcelona and Liverpool.
The Gunners came close to signing the 27-year-old in the winter window before the defender decided to see out the remainder of the season with PSG.
For Arsenal, injuries to Kieran Tierney and Sead Kolasinac have left Arteta short of options but teenager Bukayo Saka has largely impressed as a make-shift player for that role.
Kurzawa is expected to bring experience to a Gunners backline that needs lots of strengthening before they can challenge again.
Arsenal have already approached the Frenchman’s representatives with an interesting offer as they plot a move to bring him to the Emirates.