Cook, 17, was instrumental as Leeds came back from a goal down at Forest, with a Billy Sharp penalty canceling out Matty Fryatt's opener.
And Redfearn believes the midfielder was by far the most impressive performer from both sides at Forest.
"Cook was the best player on the pitch by a mile," Redfearn told reporters after the 1-1 draw at Nottingham Forest.
"As an away performance, it's been coming. I thought there was a real togetherness today and we were well worth the point. There's a belief developing and a realisation they're good enough.
"We deserved a bit of luck. We've been there plenty of times ourselves. The performances have been getting better away from home but today there was a resilience and toughness about us."
And the Leeds boss also gave an injury update on midfielder Rudy Austin and defender Giuseppe Bellusci: