He made 22 La Liga appearances and collected a Europa League winners medal as the club secured their first ever major title with success over Manchester United in the final.
However, according to sources in France, as reported via Marca, Jorge Sampaoli’s side could make an initial offer to bring him back to France.
The 30-year-old played lower league football in his native country before joining Arsenal in 2008 and he has hinted at the possibility of a future exit from the Estadio de la Ceramica.
“There are always rumours, but in football you never know. I am focused on Villarreal”, he said.
“I still have a three-year contract. At the moment I am on vacation and preparing well for the next season.
“The resumption of work is scheduled for 8 July with Villarreal and I am working towards that now.”
Despite his importance to Emery’s plans for 2021/22, the former Gunners coach could be open to a sale, if his current asking price of €25m is exceeded by an interested party in the coming weeks.