Mr Bennett said he had been given 20 days to get out of his home in a "fix notice" issued by the council.
He offered to sign a document absolving the council of legal responsibility for his safety and vowed to resist any attempts to forcefully evict him.
That could include going to court or being "carried" out of his home by police, he said.
"If they choose to enforce that injunction and I say f*** off they can arrest me. I'm going to be carried out. I won't resist but they will have to pick me up and take me to the police station. It's a point of principle."
Christchurch council regulation and democracy manager Peter Mitchell told Radio New Zealand it was "very dangerous" for Mr Bennett to stay in his home.
He offered to arrange a visit from a geotechnical engineer to explain the council's eviction order.
"From the council's point of view there's a real life risk here."
The council would be happy to go to court to defend its order, Mr Mitchell said.
Bennett has written national newspaper columns and is the author of books including Hello Dubai, Where Underpants Come From and Mustn't Grumble.