Mourinho was particularly panned for the defensive mindset the Red Devils set up with in the 2-1 defeat, as Wissam Ben Yedder's double put the tie beyond United.
"Of course (it is hard to take)", defensive midfielder Matic said.
Meanwhile, Atletico Madrid have also been touted as possible destination for the midfielder enforcer with the Spanish club capable of offering the luxury of Champions League football.
"And for some reason you go to the Champions League quarter-final like today and there are there four clubs that are always there".
McTominay added, "All the young players, they're not shy and they're not anxious about saying what they think". In Sevilla, there are many players that will play in my team. "There is no excuse".
"You know what else is heritage?"
"If the clubs that are in a better situation than us, if they stop investing in everything and we invest, I would say we are side to side", the boss said.
"We have to go with everything to try to go through".
"We know that it's a tough competition, we know that there are seven other teams who also want to win this weekend and to progress".
"I also said we are not one of the top teams, not one of the favourites to win", Mourinho added.
"We have to forget this". We agree in the investments, we agree that we have what we have, the investments we are going to do are going to be progressively season after season.
Team-mate Ashley Young intends to use the disappointment as a catalyst for victory against Brighton.
Despite needing a win to advance - aside from a penalty shootout - Mourinho started two holding midfielders in Nemanja Matic and Marouane Fellaini.
As McTominay has developed this term, manager Jose Mourinho pointed out in early December how he's longer "young Scott", a youth team player, but instead just another player in senior team consideration. "It's a natural process, every team invests". "You wouldn't be in this competition and this far into the competition if it wasn't".
The message was loud and clear - "I am going nowhere and I am up for the fight!"
The outburst started before he even faced a question, with Mourinho exclaiming "I am alive" as he sat down to face the press.
Instead of heeding that warning, United wilted under the Old Trafford floodlights.
"In seven years, with four managers, once not qualify for Europe, twice out in group phase, and the best was quarter-finals".
Did many people see that coming? . That result will always stand alone as a major black spot on this season. Not from the last two years'.
So, where does this leave United? .
"In 2014, out in quarter-finals, 2015 no European football".
Manchester United manager Jose Mourinho has urged the club's supporters to remain patient following their UEFA Champions League exit.
Unsurprisingly, Mourinho's comments drew criticism that mostly focused on his tactical approach to the game. In 2013, out at Old Trafford in the last 16.