Wan-Bissaka, who arrived at Old Trafford from Crystal Palace for £50m in July, enjoyed a promising debut for his new team in Sunday’s 4-0 win against Chelsea.
He contributed to the attacking play while demonstrating the defensive qualities that made him such a hit at Selhurst Park.
And former Manchester United defender Parker believes it is Wan-Bissaka’s ability at the back that has him head and shoulders above his rivals including Liverpool ace Trent Alexander-Arnold.
“I’ve said it many times, I watched him often last year, I just like what he does,” Parker told WeAreTheBusbyBoys.
“People talk about the lad at Liverpool but he can’t defend like Wan-Bissaka, whose defending and positioning is very good.
“He wants to defend, he loves it. And every time he won a tackle there was no doubt he won it cleanly.
“You would think he had been there years.
“I’m judging him as a defender. He is the best right back in the Premier League.
“There’s always a question about him going forward, he can learn that, he will get better and better. He’s playing for a team who will allow him to do that.
“If you’re playing next to him as a centre-half, you’re saying to yourself ‘there’s my get out of jail card’ because he wants to make those tackles and wants to protect that right hand side.
“He doesn’t want to give anyone a yard or see anybody deliver crosses from his side of the park. I thrive on that. I love that.”
Ole Gunnar Solskjaer was full of praise for Wan-Bissaka after the Chelsea romp.
“Aaron is so aggressive and doesn’t want to get beaten by tackles, he’s a proper Manchester United defender,” the United boss said.
Marcus Rashford’s double was sandwiched by Anthony Martial’s effort before Daniel James stepped off the bench to score on his debut.