The Moroccan international, who has netted 15 times for his country, has been linked with a move to the Premier League throughout the close-season.
His 13 goals last term helped secure a first league title in 10 years for les Girondins, but Chamakh has made no secret of his desire to leave the Stade Chaban Delmas.
He has previously claimed to have agreed terms with Sunderland, Fulham, Blackburn Rovers and Tottenham Hotspur, with Arsenal - his preferred destination - seeing a £5 million bid turned down by Bordeaux and refusing to increase their bid.
And, according to L'Equipe, Hammers boss Gianfranco Zola is now hoping to benefit from Arsenal's hesitancy and add the front-man to his ranks to bolster his forward line.
The Italian has already been linked with several high-profile name this summer, including Barcelona forward Eidur Gudjohnsen, Inter Milan front-man Mario Balotelli and Bayern Munich talisman Luca Toni.
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