The under-fire head coach came out fighting at Carrington on Friday, following back-to-back home defeats by Manchester City and Brighton that have deepened United's poor start to the season.
Carrick accepted responsibility for the results but argued the club were not in the midst of "a catastrophe or disaster," and that losing three of their opening six games "doesn't mean the world caves in." Asked whether external pressure could influence the club's owners, Carrick dismissed any concern over his position.
"That's irrelevant for me," he said. "I know the club, I know the role. I understand where we need to be as a football club for the owners, and what they expect. For the supporters, as much as anything, and what they expect. I get all that.
"But in terms of future and ownership and how long I've got in the job, that's just totally not in my thinking. Not one part of it... It's just ridiculous to think that way in the position that I'm in. That's just not on the radar. We're living in a world of instant reaction, instant judgement, which is fine. It's how it is. But it's not in my world."
Asked whether United still felt like a great club during difficult moments, Carrick was unequivocal.
"Yes, 100 per cent. I wouldn't want to be anywhere else, genuinely. It's the best place for me to be," he said. "You've got to put things in a little bit of perspective. It's not a catastrophe or a disaster. It's not the end of the world. We're not in a place where we've gone on an awful long run of horrific results, you know? We've lost a couple of games recently and we feel like we've been in all the games that we've played, so it's not like we're having a real struggle all the time."
Carrick took full responsibility for the results rather than looking to assign blame elsewhere.
"Blame me, no problem. I'll take the responsibility, whatever it is. But, for us, it's not about blaming people. It's about finding solutions and being better," he said. "It's two or three games that we haven't had certain results — and two or three games too many because I really hate losing. But that doesn't mean the world caves in."
Pushed on whether he needed to show more emotion, Carrick pushed back directly.
"I need to show more emotion? In what way? How? What do you want me to show?" he said.
Manchester United were booed off after squandering a two-goal lead in Wednesday's 3-2 Carabao Cup defeat by Brighton, but Carrick said he had anticipated a difficult spell at some point this season.
"I was expecting a point at some stage that we'd go through it. It was going to come. We had such a good spell last season and going into this season, there was going to be a time when you don't get everything out of it what you wanted," he said.
"Winning games is always the answer. It's the answer to a lot of things. It can cover up a lot of things as well sometimes, by winning games and people don't see the whole picture, so it works both ways."