Reports continue to suggest the Frenchman is set to leave Chinese club Shanghai Shenhua in January in the wake of a pay dispute.
England is thought to be the most likely destination for Anelka, who has spent successful spells at Arsenal, Liverpool, Manchester City and Chelsea during his career.
The 33-old striker also played for Bolton Wanderers between 2006 and 2008, when he worked under Sam Allardyce and a reunion could now be possible at West Ham.
"We are looking for good players and Anelka is a good player," said assistant manager Neil McDonald in the Daily Star.
"He had a fantastic relationship with Sam."
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