Greater Manchester Police (GMP) said the "joke" call came on 21 February after the fast food chain closed some UK outlets due delivery problems.
The caller said he "had an emergency" and had "to go to Burger King now".
A GMP spokesman said the man put lives at risk by keeping call handlers from answering real emergencies.
He said the call was made at 17:20 GMT and the force had received 74 emergency calls between 17:00 and 18:00 "of which 73 were answered.
