The eight-time Premier League victor added: "I think the moment earlier on in the season where it was clear that the board had decided that they didn't want to back a couple of Jose Mourinho signings...to be honest at that point you are finished as a manager".
But Manchester United announced on Tuesday that "manager Jose Mourinho has left the club with immediate effect".
In a statement, the club confirmed the news that they were parting ways with their controversial manager.
Sky Sports News understands Manchester United coach Michael Carrick will take charge for the next 48 hours, after which an external appointment will be made for the caretaker manager post.
It is 19 points behind Liverpool and its 26-point total is United's lowest after 17 games since the 1990-91 season.
Mourinho won the Europa League and the League Cup in his first season at Old Trafford, before steering the club to a second-place finish past year, the highest finish since Sir Alex Ferguson won the league in his final season in charge 2013.
The duo have been key parts of Mourinho's backroom team, alongside Italian fitness coach Stefano Rapetti.
United's players and staff were given the day off on Monday following the 3-1 loss at Anfield.
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Currently, the Austin campus, which is less than a mile from the planned expansion site, employs about 7,000 people. Austin's economic development office did not immediately respond to requests for comment about the incentives.
"At this stage it doesn't matter who you get, it's going to be a hard game".
As Klopp bounded onto the field to hug his players and rouse the home fans in one final celebration after the final whistle, the German epitomised the differing mood at the two clubs personified by their managers.
Mourinho's run of never completing a four-season spell in charge of any club goes on.
Top-quality players such as Belgian striker Romelu Lukaku - who he persuaded to come to United and not Chelsea for £75 million in 2017 - and Paul Pogba for a then world record fee of £89 million in 2016 have floundered under his authoritarian stewardship.
"I know that we lost some other matches, but we played away at Liverpool, Chelsea and Manchester City away - probably the three best teams apart from Tottenham".
Bayern did comprehensively finish at the top of Group E in the previous Champions League stage, though, and will be keen to advance further against Klopp's Liverpool side.
Asked who should succeed Mourinho, Neville replied: 'I said last season that for me it should be Mauricio Pochettino, not just because of what he's done at Tottenham. If you're a manager of his stature, you're on a collision course and we've seen this play out in public over the past few months. They have won only once in six league matches, drawing during that sequence with struggling Southampton and Crystal Palace.
"He had a very good first season, an acceptable second season, but this season has been a disaster".