Ferguson urged fans to get behind Moyes in his farewell speech at the end of the final game of the season.
"I have got to say it showed unbelievable class. Change can be difficult for people but importantly he gave me the confidence and hopefully from that the supporters will give me the opportunity to get started. It was good for the players, too," Moyes told the Daily Mail.
"Yes, in a way. I don't want to mention Sir Alex in every conversation I have but in the same breath I would hate to think in any way that I was disrespecting someone of his level. But I will always respect him, as will Manchester United."