Jonny Evans, Jonathan Woodgate and Steve Holland all arrived as Carrick took charge in January after the sacking of Ruben Amorm.
He said: “Sometimes you connect with people and you get on and you work together and you work well. For me, it is all about people, whether that's players or staff or supporters, family, whatever it is. I think connecting with people is really important to try to get the best out of each other.
"I have to say the staff have been absolutely top class in different ways, different personalities, different roles. To come together in a coaching office that's not much bigger than the desk, to be around the desk, day in and day out, when it's new and it's fresh takes a lot of effort, but credit to everyone, it's been all positive since we came together in January.”
Asked about next season, Carrick says everyone knows nothing will be decided until the end of this campaign.
He also stated: "No, listen, we're very close. Even though we came together specifically for the role here, we're all very clear in terms of what it looks like. It's not something that we need to overly discuss, to be honest.
"I think we're all on the same page. We know it. It's pretty obvious, you know. I keep saying the same things in some ways every week, but it is what is. We're alright, we're fine with that, and the coaches are fine with that.”