The youngster made his Premier League debut at the Emirates back in May and impressed with a series of composed displays in the middle towards the end of the 2016/17 campaign.
He continues to work with the first team under Jose Mourinho this season but only has one start to his name so far – against Swansea City in the Carabao Cup.
But Shaw, speaking to the club’s official website, insisted that Tuanzebe would eventually cement himself as the side’s first choice centre-back.
“I think Axel is unbelievable,” he said. “I think the talent he’s got is frightening. He’s strong, he’s quick, he’s energetic, he reads the game well, he’s a good passer of the ball, he’s got everything.”
“For me, his main position is probably central defender. I think if he nails down one place, it will be central defender. But like I said, he’s got everything and he’s still very young.
“I look back to the game against Swansea away [in the Carabao Cup] when he came in from the cold and there would have been a few people surprised at him starting the game. But he didn’t let anyone down.
“I was sat on the bench and I was happy and proud for him, and also Scott [McTominay] in the same game. Both of them were terrific, especially Axel because I think Scotty had played a game before that.
“It was Axel’s first proper game [this season] and against a good team as well. For me, he was Man of the Match and I think people then took to him, the fans, and they knew what a special talent we had.
“We’ve not seen him that much but, hopefully, we and the fans get to see him more because I see him in training and he’s improving every day, building his confidence up even more. He’s always ready for his chance when called upon.”
Tuanzebe hasn’t even made ten starts for the United first team yet but has still managed to convince in four different roles: left-back, right-back, defensive midfield, centre-back.
It is the latter position where Shaw believes Tuanzebe’s future lies, but for the moment his malleability and composure all across the pitch is what renders him so valuable to Mourinho, whose reluctance to send him out on loan this month demonstrates his trust in him to perform when called upon.
This is one youngster who could, with a run of games, acclimatise to Premier League football quite seamlessly, and supporters will hope Mourinho provides him with exactly that during the business end of the campaign.