The former Chelsea and England midfielder has also become a target of criticism from the terraces one fan tweeted that Cole, who has made just 36 appearances in two years for Liverpool, should be replaced in the squad by an "upside-down shopping trolley" and Cabaye, a former Lille player, insists that Cole would be better served by returning to France.
"It is not easy for him (Cole) because he does not play much," Cabaye said. "It worked well for him at Lille and maybe would be a good idea for him to return there.
"The club, the coach, the fans love him at Lille. I've heard that [coach] Rudi Garcia would be interested to have him back."