The 43-year-old has been in charge of the Lionesses since 2018, but has announced he will step down at the end of his contract next year.
Neville's decision means he will no longer lead England in the European Championships - which have been pushed back to 2022 - as he stated he used the job as a stepping stone to get into club management.
He told beIN Sports last month: "My plan was always just to go for the three years and then get into the day-to-day running of a club job, which would be what I wanted to do.
"It’s been brilliant and I’ve loved every minute of it, but ultimately you don’t get to see the players. You don’t get to impact them every single day, which is now what I feel I need to do."
Neville had also been appointed manager of Team GB's women's team ahead of the Tokyo Olympics - originally scheduled for this year - but it is now not clear if he will fulfil those duties either, after the games were pushed back to 2021.
His stance on his position has now come in for criticism from England's most-capped women's player ever, Fara Williams.
"The fact that you can come out and say you was using our national team as a stepping stone, that disappointed me.
"I know what it means for the girls there currently, staff that are there currently [and] that were there before."
Neville enjoyed a good run with the England team, taking them to the World Cup semi-finals in 2018.
But recent form has seen them lose seven of their last 11 matches which Neville admitted was "unacceptable".
He has always kept close ties with the men's game, having gone straight into coaching at Man Utd and Valencia following his playing career, as well as being co-owner of League Two side Salford City.
And while he is yet to announce where his next move will be, Williams feels Neville's words have put a negative slant on women's football.
"I just think it shows a little lack of respect for our game and, as I say, where it was and where we are trying to get it to."
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