The People reports that several Premier League clubs could be tempted to move for the striker in the new year.
Real Madrid have reportedly told the French striker’s agent to find him a new club.
Real Madrid are prepared to sell the 25-year-old France international for £17million.
Benzema joined Real Madrid from French side Lyon for £25million four years ago.
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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.