The People reports that PSG boss Carlo Ancelotti is ready to make a bid that could persuade Arsenal into selling the winger.
The 23-year-old has just a year left on his contract with the Gunners.
PSG are ready to tempt the winger with big money, while Arsenal are not prepared to up his current £60,000-a-week contract.
Tottenham are also reportedly interested in the highly-rated England winger.