The reigning Premier League champions sit seventh on the table having won just two of their past six league outings which has prompted Carrick to urges the faithful to have patience as they continue their transition from the Sir Alex Ferguson glory days.
"We've had success over the years," said Carrick. "It comes easy when you have success. You have to deal with the down times as well.
"You have to respect both and deal with them. It's been a tough season and we're not in a very good position in the league.
"We keep saying we need to go on a run. Performance-wise it's a tough one to take when you play okay and create enough chances to win three or four games and we've still drawn again at home.
"We'll pick ourselves up. That's what we do. That is the business we're in."
He added: "Of course the players care. It's the pride we have in ourselves and each other.
"No-one wants to go through a spell when people are questioning you and things are going wrong.
"We thought it was going to turn. We've thought that all season. We still believe it will, we still believe results will come for us."
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