The Norweigan has come beneath mounting pressure this season after a poor beginning.
It has left United 15th in the Premier League after the Red Devils were won by Arsenal at the weekend.
United could turn to several options occurs to be they resolve to discard of Ole.
Daily Star Sport takes a closer look at who could substitute Solskjaer:
1) Mauricio Pochettino:
The overwhelming favorite to make the move to Manchester should Solskjaer plug up his courage. And a timely appearance on Sky Sports a day after United lost came on Monday Night Football where he said he was finding a way to get back into management.
Pochettino spent five years at Tottenham, turning them into a force in the Premier League and Europe – but maybe the lack of any silverware may encourage Ed Woodward to look somewhere else.
2) Massimiliano Allegri:
If it is trophies Woodward desires, there are not a lot of better recent managers out of a job than Allegri on that aspect.
His Juventus team fought their way to success in Serie A and the Coppa Italia, only failing to win the latter once at the time of his five years in Turin.
One neglect on his CV is the lack of a Champions League trophy, though his Juve made the final on two different moments.
3) Brendan Rodgers:
Maybe a strange choice suitable for his Liverpool past but his reputation as an attacking-minded coach who is great with young players ticks all the boxes at Old Trafford.
Recently in charge of Leicester, the Foxes is a suitable force to be reckoned with under the Northern Irishman.
With United passing through a transitional phase, Rodgers can most likely be the best man to get them through a difficult time.
4) Julian Nagelsmann:
The up-and-coming hotshot in the management game, Nagelsmann has been linked with all the top clubs in Europe presently.
Creating headlines after becoming the manager of Hoffenheim at 28 years old– his RB Leipzig team is fast, exciting, and brimming with young talents.
Moreover, Solskjaer made the German look silly less than a week ago when United beat them 5-0.