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The players' union has called for the introduction of a new rule requiring concussed players to be automatically withdrawn from the field of play, a suggestion with which Martinez agrees.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.