The Everton boss believes that the decision to substitute concussed players should be taken out of managers' hands, having witnessed two incidents involving his team this season
The Toffees boss saw opposite number Andre Villas-Boas leave goalkeeper Hugo Lloris on the pitch after he was knocked unconscious by Romelu Lukaku's knee in his side's draw with Tottenham, a decision that has drawn heavy criticism.
The players' union has called for the introduction of a new rule requiring concussed players to be automatically withdrawn from the field of play, a suggestion with which Martinez agrees.
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"I don't think it should be a manager's decision whether you take a player off or not.
"It should be part of the game and a law. It would be very unfair to be a manager in a position where you have to take a player off just to avoid any sort of risk without having that medical knowledge."
Villas-Boas vehemently defended his decision to leave Lloris on the pitch, with Tottenham subsequently releasing a statement in defence of their manager.
However, brain injury charity Headway labelled Villas-Boas "irresponsible and cavalier", while former Liverpool physio Peter Brukner told Goal that he believes that managers should undergo an education programme to better understand medical matters.