Although Neville did not mention anyone by name, given he was comparing them unfavourably with Liverpool - the team he despised as a kid - it is not hard to feel Manchester City might be in his sights.
"When I was a youngster, they (Liverpool) won everything," said Neville, in a special interview for MUTV with former United star Paddy Crerand.
"It was horrible. Jealousy does come into it but I have more respect for their traditions than I would for some of the other clubs coming onto the scene throwing a load of money at it.
"They (Liverpool) have got a history."
After his much-publicised spat with former team-mate Carlos Tevez during last season's Carling Cup semi-final at Eastlands, it should ensure Neville is public enemy number one for the first derby of the season, which City will host on November 10.
However, it is Liverpool's history the 35-year-old has in his sights this term, after admitting a record 19th Premier League title is the honour United have placed top of their wanted list.
"The motivation has got to be winning the league," said Neville.
"What a massive incentive we have to win it back.
"Last year we did not perform at our best at times. We had terrible injuries in defence.
"If we can just get our players to stay fit this season, we have got that 19th in front of us.
"To beat Liverpool would be fantastic. It would be massive for this club. We want to be the most successful club."
In a wide-ranging discussion, Neville also touched on his own future.
Capped 85 times by England, the Bury-born full-back, who attended his first United game when he was six, is already looking ahead to the day when his career is over.
Management would appear an obvious avenue for one of the most opinionated players in the modern game.
Yet Neville is not certain it is a role he would be suited to.
"I am a bit too emotional to be a football manager," he said.
"If you look at Ryan Giggs and Paul Scholes. They are quiet, considered and patient. They are probably more suited to modern-day management.
"I am doing my 'A' licence as a matter of course. It is what you should do.
"But at this moment in time, I haven't quite got the aptitude for it."