Rodriguez, 25, came through the Real Madrid academy before joining the French champions in a deal reported to be worth 25 million euros (£21.8 million) in 2016, however injuries and inconsistent form have blighted his time in the French capital.
He has scored one goal in nine Ligue 1 outings and has found himself out of favour with new coach Thomas Tuchel.
Rodriguez, who spent last season on loan at relegated Premier League side Stoke City, has featured just once this term -- as a last-minute substitute in last week’s 2-0 French Cup victory over Strasbourg.
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(Reporting by Joseph Cassinelli; Editing by Toby Davis)
