There have been questions of late over the performances of midfielder Pogba and striker Ibrahimovic, United's two most high-profile summer signings.
Red Devils boss Mourinho in 2006 suggested certain players he had at Chelsea were virtually immune from being dropped by labelling them "untouchable".
And he was asked ahead of Thursday's Europa League clash with Fenerbahce if he has players at United he would describe in the same way - with Pogba and Ibrahimovic's names being put to him specifically.
Mourinho replied: "No
That was a different Premier League and situation - it was the best team by far
It was a different story.
"Not untouchable
Untouchable in our team has to be the spirit, the pride, the commitment to the club, the respect to the fans - that has to be untouchable, not players."
United captain Wayne Rooney has lost his place in the team, with the last four games having seen him only used as a substitute.
And Mourinho has refused to confirm whether Rooney will be returning to the starting line-up in Thursday's Group A match at Old Trafford.
"I don't want to give you the team, honestly," Mourinho said.
"Wayne is working well - he's one of the big responsible people for the atmosphere that the players can breathe because he's positive and a good example.
"We count on him, to start or be on the bench
He will be there."
United, who extended their unbeaten run to five matches with Monday's 0-0 Premier League draw at Liverpool and on Sunday face Chelsea away, are third in their Europa League group
They have three points from two pool games, a point less than leaders Fenerbahce.
Meanwhile, Mourinho feels it will make "no sense" for United forward Marcus Rashford to play for England Under-21s at next summer's European Championship if by that stage he is a "regular" for the senior national side.
Reports have suggested the Football Association will demand Rashford is made available for the finals in Poland, irrespective of his development with the seniors.
Asked his club's position was on the matter, Mourinho said of the 18-year-old, who has made five senior England appearances - four as a substitute - and one for the Under-21s: "If the player becomes a regular in the 'A' national team and established, then to say 'it is important for his development, the Under-21s' makes no sense
"It's the same that he's a regular here with us, and then we are going to play him in the Under-23 Championship because we want to beat somebody and he can give us a help in that.
"Let's see what happens
If he becomes a regular choice for (England interim boss) Gareth Southgate in the first team, then we have to speak because we don't want to go into contradictions."
Source : PA
Source: PA