The Spaniard has struggled for game time under Arsene Wenger this season since his £17.5m move from Deportivo La Coruna at the start of the campaign.
Alexis Sanchez, Danny Welbeck, Olivier Giroud and Alex Iwobi have all been preferred in the starting XI that has left Perez cutting a frustrated figure in north London.
And according to Goal, PSG will attempt to offer him a way out at the end of the season.
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Despite his lack of game time, Perez has still managed to score seven goals and register five assists this term.
Perez is currently sidelined through injury but the report claims he is concerned his lack of game time under Wenger has hampered his international ambitions.
The 28-year-old is keen to try and work his way into Spain's squad for the 2018 World Cup in Russia.
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Unai Emery is keen to bring Lucas Perez to PSG
PSG boss Unai Emery is a long-term admirer of the forward and tried to secure his signature prior to him joining Arsenal.
Emery will attempt to land him once again at the end of the season and is convinced he can bring Perez to France.