The former Manchester United attacker has been punished for his stroppy behaviour after being left on the bench for a recent Liga MX game.
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TUDN says Martial was left furious when youngster Joaquin Moxica was brought on ahead of him during their clash with Chivas de Guadalajara.
New Monterrey coach Nicolas Sanchez has acted swiftly, ordering Martial to train away from the first team squad.
Monterrey currently sit ninth on the table with 14 points and are without a win in three matches