Faubert joined the Hammers from Bordeaux for £6.1million in the summer of 2007.
“It is flattering for me to know that Lyon have been coming to watch me,” Faubert is quoted as saying in the Sunday Mirror.
“I think about the France national team and the 2010 World Cup every single day.
“I’ve had a taste of international football, and I miss it. Maybe a return to France would help me win a recall.”