A group of supporters have clubbed together to pay for a light aircraft to fly over Old Trafford on Saturday, trailed by a banner that reads "Wrong One - Moyes Out".
The United boss said fans were "entitled" to organise such a protest after recent results, but the Scot insists he is supported by most fans, the club's board and the playing staff.
"Everywhere I go I get great support from Manchester United supporters," Moyes said.
"I was at a dinner last night for Darren Fletcher and there were Manchester United supporters who came up to me and said 'come on, keep going, we understand exactly the situation the club is in and team is in'.
"They were really supportive and every time I have been to Old Trafford they have been great.
"I am seeing a lot different from what a lot of people are saying but I understand that results matter."
When asked about the fly-by, Moyes said: "I have heard of it and what they are saying about it, but this is something which is a long journey here, this is only the start of the journey.
"People can do that. They are entitled to do that."
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