The 29-year-old has failed to have the desired impact so far during his second Premier League stint, which comes as a bitter disappointment given the Hammers looked to have secured him in a relatively bargain deal last summer.
Chicharito cost the club just £16m from Bayer Leverkusen and many tipped him to become one of the signings of the season, but things simply haven't gone to plan.
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He is no longer a guaranteed starter under manager David Moyes, who has often opted to play natural wingers Marko Arnautovic and Michail Antonio up front ahead of him.
It has now been claimed West Ham have made a move for the 28-year-old, although Bournemouth have rejected their £5million bid.
"Los Angeles FC have been looking for a marquee signing since joining the MLS and Hernandez is likely to bit that bill therefore they are leading the chase according to the betting to capture the West Ham striker this month", said Coral's John Hill.
Hernandez, who is West Ham's top earner, may be concerned his poor season will impede on his hopes of remaining a regular for Mexico ahead of this summer's World Cup in Russian Federation.