Kevin Murphy, who owns Murphy’s Bar in Regent Street, has set up the online petition as a plea to Warwick District Council not to take it away.
And the petition, set up on the Change.org website, already has around 350 supporters.
Mr Murphy has said: “They have given me seven days to remove it.
“I have had a lot of positive comments from the local people and overseas visitors to Leamington and children of all ages love it.
“It is doing no harm so please help ‘save Batman’.”
The petition can be viewed here.