Following the retirement of Sir Alex Ferguson over the summer, the former Everton boss has struggled in his first few games in charge, but the Brazilian feels that it will take time to adjust.
"It's never easy," he told Perform. "Obviously it's completely different because we had [Sir] Alex Ferguson for 27 years but I think we all must get used to it.
"David Moyes has his own rules but, of course, he is not going to change everything, especially because what was done before was proven to work well.
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After a summer which saw fierce debate over the future of Wayne Rooney, Rafael is not surprised to see the forward still at Old Trafford, where the full-back argues he is at home.
He added: "There was too much talk about Rooney leaving. He was always silent about it. Now he is very relaxed.
"He belongs to Manchester United. He has been here for so long now, [for] almost a decade.
"The fans love him and I think he will stay here for a long time."
As for his own future, rumours have suggested that Rafael could move back to his homeland with Corinthians in search of guaranteed first-team football before next summer's World Cup, but he is adamant that no transfer is in the offing.
"A lot of people texted me asking about that [rumour]," he remarked. "I haven't heard anything about that and my agent made it very clear that I am not considering a move.
"Especially after last season, there is no reason whatsoever for me to leave. Maybe because I was injured and not playing some people may have thought that, or maybe because we have a new manager, but for me it is business as usual. It's not time to come back to Brazil."