Tuanzebe is set to leave Old Trafford for the rest of the season on a loan deal to Championship promotion hopefuls Aston Villa.
And Shaw, who has fought his way back into favour, believes Tuanzebe is the real deal.
“I think Axel is unbelievable," the left-back 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."