Hit hard by injury and suspension going into the game, Carrick paired fullback Noussair Mazraoui with youngster Ayden Heaven and was rewarded with a clean sheet.
Carrick said, "I thought Ayden Heaven and Noussair Mazraoui coming in were incredible, Ayden being such a young age and Noussair not really playing centre-back in a back four.
"I have to give the coaching staff a lot of credit on getting the boys ready for that. I thought the boys put a magnificent performance in tonight.”
Carrick also praised skipper Bruno Fernandes for his performance on the night.
He stated: “His impact has been immense for a period of time, he's carried that all the way through. He plays most games, he's fit, he's hungry. He had a big shift to do in the middle but he was willing to do that for the team.
"He's a big personality, he's the captain for a reason. Sometimes it's leading by example and showing the way. He's vocal, he's a big presence on the pitch. He's been a big part of this club over the last few years.”