Sherwood has expressed sympathy with West Ham, who have been unsuccessful in their bid to overturn Andy Carroll's red card against Swansea City last weekend.
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"I think it makes it clear that Andy Carroll is vitally important to West Ham's future," said Sherwood, speaking ahead of his side's Premier League clash with Everton on Sunday.
"West Ham feel aggrieved that it hasn't been overturned. We made an appeal with Danny Rose (following his sending off against Manchester City) and we got that one overturned and I think that was unanimous.
"One thing I would say is the feigning of injury from players is something we want to keep out of the game.
"Retrospectively, I would go back and punish the player who is diving around more than the player causing the offence.
"I think that is the only way you are going to ever cut it out, to go back and give them a higher punishment."