"Five clean sheets on the trot is a great achievement," he said.
"The back four and Edwin van der Sar have had a lot of credit lately and rightly so.
"But right from the front, I think everyone is doing their job defensively really well. We are very solid and we want to continue that because we will always create chances with the forward players we have."
"It was so early in the season, we just felt it was important to keep on doing what we had been," he said.
"We were playing well enough, we just had to wait until the results turned around.
"We got on to a run of 1-0s and it looked like it was going to be the same against Chelsea. But we finally got another one, so we will take that and move on."
Carrick's sentiments were echoed by stand-in skipper Ryan Giggs, one of a host of senior United men who will be rested for Wednesday's Carling Cup clash with Coca-Cola Championship high-flyers Coventry at Old Trafford.
Giggs has been involved in every title win under Ferguson and knows extended unbeaten stretches will be required if United are to get the 10th championship the veteran Welshman craves.
"We are always capable of going on a run and hopefully we are in the middle of a 10 or 12-game run now," he said.
"To do well in this league what you need is consistency, both against the so-called lesser teams and the big ones. Obviously, you want to do well against the big teams. That can prove important at the end of the season.
"Chelsea is a big game for us and thankfully, we got the result we wanted."