Moyes will officially take over as United boss on July 1, replacing Sir Alex Ferguson after his retirement in May ended 26 years of stability at Old Trafford.
Ferdinand believes that the senior figures in the United squad used to winning trophies can withstand Moyes's transition, allowing the Scot time to monitor without needing to make drastic decisions early on.
The Sun quotes him as saying: "The new manager wants to put his own imprint on the team. That is what you would expect as players. We are open-minded to that.
"But, hopefully, the fact he has got people in there who know how to get the job done will give him a little bit of time. The team can be on auto-pilot with the manager just tinkering to make sure it is done the right way.
"If we need to change tactics, that is when the manager comes into his own, with whatever training methods he wants to use. In terms of going out on a Saturday and getting games won, a lot of us have been doing it for years. That is why we have been here for so long and won so many trophies."
The 34-year-old has a testimonial to look forward to at Old Trafford before the new season begins, with Sevilla the visitors on August 9.