Moyes, who officially took over from the retired Sir Alex Ferguson at the beginning of this month, claims that the Glazers are taking a relaxed approach as the club look to adapt to a new manager for the first time in over 25 years.
"The message [from the Glazers] has been get on with the job, there's no panic here, take your time," Moyes told reporters.
"Do things the way you want, there's no great expectations, get on and do the job. They have given me a lot of confidence.
"They're not owners who interfere, they are low-key and they have been great in my conversations with them. I've met them a couple of times [and] they've been brilliant."
Meanwhile, Moyes has stated that he is happy to have Sir Alex Ferguson's continued presence at the club.