Ryan Nelsen believes West Ham have issued a statement of intent by tying Winston Reid to a new deal.
Tottenham are keen for striker Shaquile Coulthirst to continue his development out on loan after his spell at Southend.
Reports continue to suggest the Frenchman is set to leave Chinese club Shanghai Shenhua in January after 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 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."