PSG chief Luis Campos has held talks with Arsenal manager Mikel Arteta.
Campos wants the former PSG midfielder to succeed coach Christophe Galtier this summer.
The pair met in recent weeks to discuss the prospect, says RMC.
However, Arteta is unlikely to be tempted away from Arsenal anytime soon.
Last season, Galtier guided PSG to the Ligue 1 title, but he is expected to be axed and replaced after failing in the Champions League.