According to transfermarketweb.com Arsene Wenger has identified the Frenchman as an ideal target to bolster his forward options.
Although a regular at Real Madrid at present, Benzema could move on if Real make a move for Radamel Falcao, who has been linked with a move from Atletico Madrid.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.