Police received the call within minutes of the Reds' penalty shootout loss, as they missed out on a Wembley date with Manchester City.
The upset supporter demanded to speak to Ferguson, who was at the game.
Greater Manchester Police released a statement on their Facebook page on Thursday morning which read: “Last night, at approximately 10.30pm a man from the Crumpsall area of north Manchester rang 999 in a drunken state demanding to speak to Sir Alex Ferguson about last night’s result.
“Obviously, it can be a sad and depressing moment when you’re football team loses a game, however can we all please remember that 999 is to be used for emergencies only.
“For any other police related enquiries that are not an emergency, you can ring 101.
"If you would like to speak to Sir Alex about recent football results we here at GMP Manchester North can only suggest you try ringing Manchester United FC directly as you will probably (not definitely) have a much better chance of getting through to him there rather than ringing the police."