Following Andre Villas-Boas' dismissal at Tottenham, the Manchester United manager - who has struggled since his summer appointment - feels stability is key to a successful side.
Andre Villas-Boas, who was also sacked by Chelsea in 2012, became the fifth Premier League manager to lose his job this season when Tottenham showed him the door on Monday following 17 months in charge.
Moyes spent four years at Preston North End then joined Everton in 2002, spending 11 years at Goodison Park before succeeding Sir Alex Ferguson at Old Trafford - and the Scot feels clubs are too hasty in modern-day football.
"It makes me realize how lucky I have been at the clubs I have been at," Moyes told reporters. "I worked for great people at Preston, great people at Everton and my short experience at Manchester United tells me I am working for really good people here.
"Maybe some of the other managers haven't been as fortunate as I have."
Moyes' position has been called into question during a disappointing start to his United career, but he points to his predecessor, Sir Alex, and Arsenal boss Arsene Wenger as examples to prove loyalty can pay off.
"I am a great advocate of managers, I want managers to be given opportunities," he added. "I am involved with the LMA [League Managers' Association]. We are saying the best clubs have had stability. Look at Arsene Wenger, the stability he has given Arsenal. Sir Alex at United and even what happened to myself at Everton.
"Obviously the owners and chairman have their own reasons but the clubs who have given the managers that period of time have benefited. It is getting less and less to see that in football. The more we see it, it might help clubs gain a bit more control and stability. In turn it might mean they are not hiring and firing managers quite so often."