The veteran centre-back is determined to win the league in the Scot's first season at Old Trafford and believes the Red Devils have a "great chance" of success under him
The former Everton manager was appointed to succeed Sir Alex Ferguson in May despite never having won a major honour as a coach.
And Ferdinand, who made 34 appearances for United last season, is determined to help Moyes break his duck and claims it would be an even greater achievement than last season's title win.
“To win the league under David Moyes would be phenomenal,” Ferdinand told The Sun.
“Last season was one of the best when we won title No 20 but this could go beyond that. To win it at the first attempt with a new man in charge would be something special.”
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“Moyes is a real football man and an honest guy,” Ferdinand continued.
“His hard working ethic reflects the man himself and he obviously wants success. We’ve got a great chance with this manager.
“Every year when we have the end-of-season party we are thinking about the next season and what we are going to do.
“We always talk about improving on the previous season. That was no different this year just because the manager has changed.”
The 34-year-old also advised any player with the opportunity to join United to seize the chance, and is adamant that no other club can better the ambition displayed at Old Trafford or improve players so dramatically.
"If United come in for you, you take it," the former England captain added. "Even if you are a great player you become a better one at this club.
"Cristiano Ronaldo became the best player in the world having come from Sporting Lisbon. The likes of Ryan Giggs, Roy Keane, David Beckham, Andy Cole all became great players at United. With this platform you cannot believe anyone would ever turn it down.
"We are well paid, of course, but it’s more important for me to be at a club which enjoys success, and historically is the greatest in the world, than to earn a bit extra somewhere else.
"I could have left United for more money but that’s never stimulated me. I’ve had the greatest stage here."