His comments were brought up during a discussion on Sky Sports' Monday Night Football, where Neville discussed Amorim's predicament. The United legend said: "This season, I think the manager to watch is the United manager. All eyes are on him.
"Can he do it? He had a horrible start to his United career. He didn't want the job part way through last season."
Presenter David Jones asked: "Do you not think because of that he gets this season, whatever happens?"
"Oh no I don't think it'll be that easy," Neville replied. "I think if he's down in the bottom half of the table he'll be under massive pressure."
Once again interjecting, Jones this time brought up Rashford's earlier comments. He said: "What about what Marcus Rashford said the other day, that Manchester United have got to come up with a plan and stick with it somewhere, haven't they?"
Neville waved his hand dismissively, and scathingly added: "Let's ignore that, because I don't want to go into Marcus Rashford comments tonight.
"He was there at the club for 10 years and had his opportunity to impact the club. Ruben Amorim, this year, I think will do a good job. Marcus should concentrate on Barcelona."
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The former Manchester full-back went on to speak more generally about Amorim's efforts at United, and what he had taken from their 1-0 defeat to Arsenal in Sunday's Premier League opener.
Neville said: "Yesterday was the first time I watched that formation out on Old Trafford, where I thought, 'Right, we've got a chance here, that worked.'
"He'd brought a few different players in, he'd brought [Mason] Mount back, got Luke Shaw in at left centre-back, that helped and I think it was the first time, it's a challenging, uncommon system, it requires specialists, but when you witnessed [Matheus] Cunha play, witnessed Mount play, witnessed Shaw at left centre-back – there was a balance! Casemiro appeared a superior player all of a sudden! Just immediately he appeared a superior player."
With a chuckle, Jamie Carragher added: "It was one game!"
Despite a close defeat at the weekend, a refreshed United will be buoyed by their performance, and they continue their Premier League campaign against Fulham at Craven Cottage on Sunday.