Berbatov believes the 22-year-old could be the answer to their defensive problems.
"I thought Alex Tuanzebe was excellent in defence, for his age he showed so much maturity and strength," said the Betfair ambassador.
"He didn't look intimidated or afraid of the huge names he had to defend, and a game like this will give him confidence. He has made the case for himself that he should play more.
"It's only one game but he appears to have all the qualities of a great defender - speed and strength, along with a cool head.
"I said in pre-season that United needed a centre back, but maybe all along Axel has been there, and he is a strong candidate to be first choice."