Queiroz, now manager of World Cup qualifiers Iran, said: "The success of Manchester United was based on a couple of principles. The first thing was it had a good foundation of consistency, continuity, trust and confidence.
"The other thing I learned when I was at the club: The club always had a strong belief with the people that work inside it - they trust themselves.
"I want to believe that it is just a tough time at the moment and in a short period of time we will see the Manchester United everyone expects.
"I have been in that experience and the most important feeling is to trust each other, believe each other, and make the right decisions. If you are not able to win today, I am sure tomorrow things will be right. I think they need to be given time."
The Portuguese added: "Moyes deserved the chance. It was not a decision which fell out of the sky. It was a decision that came from a lot of mature thoughts and reflections.
"In the near future, he will put things right, I am very much confident about that. He was a manager Sir Alex and I always respected when we worked together. He did a great job at Everton. I think he just needs time to adapt.
"Sir Alex is still there. I am sure David has been watching around and has a lot of great advisors in this moment."
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