Van de Beek is yet to start a Premier League match since joining the Red Devils from Ajax in the summer.
He was given a chance in the Champions League in midweek though the Dutchman was subbed off after an hour in the 2-1 defeat to Istanbul Basaksehir.
Van de Beek has been left on the bench at Goodison Park with Fred, Scott McTominay and Juan Mata joining Bruno Fernandes in the United midfield.
And Red Devils fans believe Solskjaer’s use, or lack of, could cost Solskjaer his job with the boss under immense pressure.
One wrote: “Honestly shocked VDB isn't starting man.”
While another added: “Where tf is vdb??????”
A third piled the pressure on Solskjaer as they blasted: “Where the f*** is vdb you melt”.
With one more writing: “Ridiculous he isnt starting”.
Another questioned Solskjaer’s decision to start Mata, wondering: “Mata over VDB???”
And another summed up United fans as they simply commented: “Free my man.”
Solskjaer is expecting a tough clash against Everton, saying: “You can get tight games but also anything can happen in the Premier League this season. Of course we hope to have a good start and build from there.
Get the latest transfer news straight into your inbox!
Want to be on the ball with all of the latest football news?
Well then sign up for the brilliant new Daily Star Sport email newsletter!
From the latest transfer news to the agenda-setting stories, get it all in your email inbox.
How do you sign up?
It only takes a matter of seconds.
Simply type your email address into the box at the top of this article and hit 'subscribe'.
And that's it, job done. You'll receive an email with all of the top news stories every single morning.
You can find out more information on our email newsletter on this link here.
“They started really well of course. You can see Carlo [Ancelotti] has had time with his team and prepared them with a good pre-season. They’ve been positive and made some good signings and they’re making strides.
“We know every time we go to Goodison Park, with or without fans, it’s going to be a tough game against a physically good side and some technically very good players.”