Mourinho has endured a hard week, failing to win at home for the fourth match in a row, losing away to West Ham and getting knocked out of the Carabao Cup at the hands of Championship side Derby County.
Scholes said he was "surprised" that Mourinho was still in the Old Trafford hot seat and said he was "embarrassing" the famous club.
The 43-year-old former England worldwide has been a stern critic of Mourinho, who in turn has hit back at the one-time United stalwart.
José Mourinho gave a damning appraisal of his Manchester United players' abilities after they were booed off on another grim night at Old Trafford.
Things livened up slightly after the break and Valencia, always looking more likely to score, missed their best chance when former Chelsea striker Michy Batshuayi blasted over the bar from close range.
There was measurably more effort exerted from Jose Mourinho's men as they seemed hungry for goals throughout the encounter but seemed unable to actualise it. Let us know in the comments section below.
'We played an important game and got a point, now we have a game against Newcastle and we need to fight.
"He's coming out in press conferences, he's constantly having a go at players".
His next longest reign came with three complete seasons, at Real Madrid, whom he left after failing to deliver the then-required La Decima - a 10th Champions League trophy.
And Mourinho levelled the blame squarely at the feet of local police for causing unnecessary problems for United in the build-up to the match. "I thought that was a fantastic season and I know the reasons why".