Cole has been at Liverpool for the last three seasons but without making an impression.
He will now hope to resurrect his career at the club where it all began for him.
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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.