The authority received a Freedom of Information request which said provisions to deal with an attack, often seen in horror films, were poor.
The Freedom of Information Act allows a right of access to recorded information held by public authorities.
Zombie letter in full
Dear Leicester City Council,
Can you please let us know what provisions you have in place in the event of a zombie invasion? Having watched several films it is clear that preparation for such an event is poor and one that councils throughout the kingdom must prepare for.
Please provide any information you may have.
Ms Wyeth said she was unaware of any specific reference to a zombie attack in the council's emergency plan, however some elements of it could be applied if the situation arose.
Other submissions to the council have included requests for records of paranormal activity and haunted buildings within the city.
"To you it might seem frivolous and a waste of time... but to different people it actually means something,"said Ms Wyeth.
"Everybody has their own interests and their own reasons for asking these questions."
She added high-profile cases, such as the MPs expenses scandal, has raised public awareness of the right to request information records.
Ed Thurlow, who runs zombie website Terror4Fun, said he felt a zombie invasion in Leicester was highly unlikely.
"I think perhaps [the "Concerned Citizen"] has watched films like 28 Days Later a few too many times."
- Story taken from http://www.bbc.co.uk