Neville believes the England left-back is destined for stardom at Old Trafford.
Shaw, 19, earned a £30 million move to United in June following two impressive Premier League seasons at Southampton which saw him break into the England setup, but the left-back’s start to life at Old Trafford has been far from smooth.
After seeing new manager Louis van Gaal criticise his fitness levels during pre-season, the teenager suffered several injuries over the first half of the campaign which limited his first-team involvement but, having now returned to fitness, Neville believes it won’t be long before he starts living up to his price tag.
“People in the summer said it [just over £30million] was a big price for Luke Shaw,” he said. “But I had no problem with the price tag on him because of the potential he has. His potential is absolutely enormous.
“Staying fit, settling down in Manchester and getting used to the expectations of a new club [are important for him.]”
England coach Neville has worked with Shaw in the Three Lions setup since his debut last March and, after seeing him dominate the left flank during training, has backed the four-times capped international to become “one hell of a player”.
“When you watch him in training, and I’ve seen him with England, you just think it’s incredible to watch somebody run like he does,” he added.
“He could be there [at Old Trafford] for ten or fifteen years and if he performs to his capabilities and realises his potential he will be one hell of a player.”
Shaw has made 16 total appearances for United since his summer move, starting all but December’s 0-0 draw with Tottenham Hotspur, when he came off the bench for the final 14 minutes after just returning from ankle ligament damage which sidelined him for six games.