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Neville was discussing United's woes following a 4-2 defeat to Leicester City and believes Ole Gunnar Solskjaer included too many attacking players in his line-up.
This was in contrast to Neville picking a United team of his own that include five attacking players - Paul Pogba, Bruno Fernandes, Cristiano Ronaldo, Edinson Cavani and Mason Greenwood.
The Liverpool Echo reported that this was the Manchester United legend's answer as part of a Twitter Q+A, but the Sky Sports pundit changed his tune when analysing his former club's current problems.
"We've seen a team picked today with Greenwood, Sancho, Ronaldo, Pogba and Fernandes. Five of them. I wouldn't want to be a defender in that team," Neville told Sky Sports.
"There's a reason that Darren Fletcher, John O'Shea, Gary Neville, Nicky Butt, Tom Cleverley, Ji-Sung Park, Owen Hargreaves got games alongside some of the great players because you need workhorses alongside them.
"Manchester United, at this moment in time, are imbalanced and the performances are now getting what they deserve in terms of the results and it needs to change."
Carragher and Neville have enjoyed plenty of banter at each other's expense over the years, and the Liverpool legend did not miss out on the opportunity to point out Neville's double standards.
Carragher tweeted: "You literally picked a team with five attackers two weeks ago. @GNev2 all over the place the lot of you."
- Gary Neville (@GNev2) October 17, 2021
That was before Villerreal and Everton at home! Not in this run of games. Nuance is lost on Twitter or with you.
See you tomorrow https://t.co/MO6ge2KAX3
Neville refused to lie down though and insisted the claim was made before a more favourable couple of fixtures on paper.
"That was before Villarreal and Everton at home! Not in this run of games. Nuance is lost on Twitter or with you."
United laboured to a 2-1 win over Villarreal and drew 1-1 with Everton, in what has been an underwhelming start to the season for the Red Devils. Neville delivered a damning indictment of where his former club are at the moment.
"[Manchester United] are nowhere near good enough out of possession. They're the weakest of all the teams at the top of the league, without a shadow of a doubt. They don't press," Neville said.
"They don't work as hard as [Sadio] Mane, they don't work as hard as Firmino, they don't work as hard as [Kevin] De Bruyne and Bernardo Silva.
"They're better players that work harder, which means you're not going to finish higher than them, simple as that. So, you better start working as hard as they do."