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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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.