The Hammers had Carlton Cole sent off during Saturday's 2-1 home defeat against Everton for a high tackle on Leighton Baines, although referee Anthony Taylor's decision to dismiss the striker seemed to be a harsh one.
Everton's Darron Gibson also saw red in the closing stages of their win for a similar offence, but Allardyce reckons it is time for football's governing bodies to implement the use of technology to help the officials make the correct decisions.
"The only way to make it better for us all is to bring technology into it," he said.
"I always said that two and three challenges a game should be in our favour. We should be allowed it, should allow technology into the game.
"Forget about your old (Michel) Platini's (UEFA President), who are antiquated.
"I know they're in strong positions and they affect the game but they're not doing us any favours by not allowing technology to come into play.
"The technology today means it's done in less than two minutes, isn't it - at the absolute most.
"I had two TVs in the dugout and it used to be a bigger help for me on the fact that I thought what decision the referee had or hadn't given.
"The fourth official could see that it wasn't an offside, or it was or it wasn't a goal - At least you knew it was or it wasn't."