Pepe has instructed his new agents to find him another club after deciding to leave the Gunners this summer.
Foot Mercato says the former Lille star has been offered to PSG, where he could arrive to replace the departing Angel di Maria.
Pepe said earlier this season: "It's frustrating not to play. No player likes not to play, but I have to respect the coach's decision. When a team wins, it is difficult for a coach to make changes.
"Mikel (Arteta, manager) explained it to me and I know I have to work hard in training to get more playing time. The coach knows what I'm thinking and how hard I work. It is also a question of communication.
"Sometimes it is not easy to communicate with the language barrier."
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