Cole, who suffered a mouth injury as he scored the second of West Ham’s three goals, said Parker’s passion spurred them on to fight back.
“We were diabolical but at half-time Scott was inspirational,” said Cole.
“Scott was in the zone – I’ve never seen him like that. If you were there you would have had a tear in your eye.”
Cole’s goal added to Demba Ba’s double as West Ham clawed their way back from 3-0 down at half-time to claim a valuable point in their quest for Premier League survival.
But, according to Cole, West Ham are indebted to their captain for his rousing locker-room monologue.
“Scott Parker showed a lot of passion in the changing room and it spurred us on,” said Cole. “We did not want to disappoint ourselves, the manager, our families and the fans.
“I know you could say that if you are a professional footballer then you should have that in you anyway, but sometimes you need your captain to step up like that.”