The duo paid tribute to their new manager's success at Everton.
Ferdinand said: "It was important the club made a decision quickly and got it all sorted before people could start making rumours.
"The club have acted impeccably in that respect.
"It's great to see the new manager coming in, we've never had a problem with him here at United, he's a very honest man from the players you speak to and he's done a fantastic job at his previous club Everton.
"I'm sure he'll be very, very open and sympathetic to the traditions of the club and try and continue that and not come in and try and make crazy changes in terms of the whole characteristics of the club."
"He's done a terrific job at Everton," United and England midfielder Carrick said.
"He's been there a long time and has had great success with the resources he's had. It's obviously a big change because this club's been run for so long by one person.
"I'm really looking forward to meeting him and getting good training in pre-season and looking forward to a good future.
"He's honest and fair to his players as far as I'm aware. He sets high standards just as he expects high standards of ourselves."