The Red Devils were knocked out in a penalty shootout, marking the first time in history that the Premier League giants had been eliminated from a cup competition by a fourth-tier club.
"Yeah, of course. I mean, as a player you are responsible for the results,” De Ligt told the media.
“They (outside the club) always speak about the manager, obviously, but I think as players we also looked each other in the eye after Grimsby and said to each other, 'guys, the performance of this week is not acceptable'. It will be really, I think, bad to say that it’s the manager’s fault. It's mostly us and we know that.
"So yeah, obviously we still stand behind him, and he stands behind us, so we keep going like that. I think the result for today makes that feeling even more.
“I don't think there's been much said (among the players) because everybody knows how the feeling was. I think everybody from outside could also understand what the feeling is if you lose a game like that."