The Toffees boss has proved himself against United before, inspiring his side to a shock 4-4 draw last season, but it could have been different if the Red Devils boss had not elected to name Steve McClaren as his No.2 instead of the young Scot while he was coaching Preston.
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"I was fine with that because I was enjoying what I was doing at Preston but, if that opportunity had come, I wouldn't have turned it down. Maybe it was a good decision not to do it.
"They went on to win the European Cup and have been very successful since but I'm happy with the way it's worked out for me."
Everton are vying for a Champions League qualifying position this season, displaying fine form and going into their clash at Old Trafford six points behind fourth-placed Tottenham, and Moyes believes that the current squad is his best ever.
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Although Everton's lack of substantial funds prevents Moyes from competing for top targets in the transfer market, he is still determined to succeed and bring silverware to the club.
"I want to win things, I am desperate to win things," he added. "I don't think there is any manager who doesn't. But not everybody's got the tools, not everybody has the ability. I have the tools in as much as I'm at a club that have won things in the past; league championships, cups.
"So I have that history, but we don't have the finances to compete with the real big boys. Things have changed since [Everton manager in the 1980s] Howard Kendall did magnificently to win the title twice in three years."