The Manchester United boss admitted after Sunday's pathetic 1-1 draw at relegated Huddersfield people might have seen the last of some players.
"We might not be and you'd be surprised how many players' agents have been touting their players, telling us that their players would love to be a part of Man United in the future", Solskjaer said.
"I think they should put a new football department in that are best in class, not have played at the club before, or have played 200 games before, or have been at the club 15 years, or have been a fan, the best in class football operators".
Manchester United missing out on the Champions League will hit the club hard from a financial perspective.
"The meek may inherit the earth but they also end up in the Europa League".
Pogba is being strongly linked with a move to Real Madrid after telling friends that he has no wish to stay at United, and Lukaku's agent Federico Pastorello has been touting him to a number of Italian clubs.
The signing of Dani Ceballos in the summer of 2017 never thrilled Zinedine Zidane, who had other goals in mind and believed that he already had a plethora of players in that position.
"I can't fault the effort and the attitude", Young told Sky after full-time.
"They should have had a whisper in the ear and said "the job's yours but don't let the players know" because they just down tools again".
"Nothing about this United team I like at all".
United host Cardiff City in their final league match on Sunday.
A win over Huddersfield was the only chance for Manchester United to keep their slim hopes of a top-four finish, which will see them play the Champions League next season.
The Red Devils can not finish in the top four after drawing 1-1 against Huddersfield.