The Frenchman joined the club during the close-season on a one-year deal from Chinese outfit Shanghai Shenhua, and had a productive pre-season campaign for the club.
He made his competitive bow for the team in Saturday's 1-0 defeat to Southampton at The Hawthorns, but the club did not confirm when they expect him to return to action.
A statement on the club's website read: "West Bromwich Albion can confirm that Nicolas Anelka will not be involved in Saturday's game at Everton.
"The club have excused the striker from club duty on compassionate grounds."
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