The 29-year-old has long been linked with a move away from Rangers.
Barton had fallen out with QPR boss Mark Hughes and wanted to leave the Premier League side.
Barton had to wait until Stephane Mbia reached an agreement to join Queens Park Rangers before he could complete his move to the French side.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.