Hameed’s tour is over because he needs to return home for surgery on a finger injury.
Cook said: “It’s terrible luck on the young kid – but he’ll come back again.
“We knew it was fairly serious. It’s a real shame for him. Hopefully, the operation is a success and he can come back.
“He changed his grip so he wasn’t hurting that part of his hand – it shows what a future he’s got. He’s made of the right stuff.”
England head coach Trevor Bayliss was equally impressed with Hameed, saying: “ You wouldn’t have known it (the finger) was broken in the dressing room.
“It was a fantastic effort – another plus in his corner.
“I think the doctors probably knew it was cracked, but they didn’t want to distract him either. It was a gutsy effort. We’ve had to talk into him that the best thing is going home – he wants to get out and play.”
Bayliss said that no decision has been made yet about a replacement for the Lancashire youngster.