United will be starting next season with a new manager for the first time in 26 years, following Sir Alex Ferguson's shock retirement after securing a record 20th league title for the club.
But Ferdinand is adamant standards cannot be allowed to slip under Moyes if the Red Devils are to see off a rejuvenated rivals Manchester City and Chelsea next term.
“Obviously the new manager will come in with new ideas, we’ve got to be ready and stay on the ball if we want to be successful,” he told reporters at a charity event at the Marina Bay Sands resort in Singapore.
“We’ve got to be focused on impressing him. But we’ve got to keep focus on making sure we’re ready for the start of the season because it’s important to get off to a good start and I’m confident we will."
“All the players faced a bit of an emotional time when he [Ferguson] told us [of his decision to retire].
“We respect his decision. He’s been here for so long and won so many things. It was only right that he went out the way he did, which is to win the league. It speaks volume of him as a man.
“He couldn’t have gone at a better time for the club and we’re looking forward to the next season.”
The Premier League fixture list has handed Moyes and United a tough start and Ferdinand admits the situation is far from ideal.
“Chelsea, Man City and Liverpool in the first five games, Swansea away as well," he added.
"Normally, it gets easier through the season with the teams that are normally around that you get if you play them in September, so you’ve got a few games to plant your feet."