Zebras would be fine - Look at the number of idiots who own full size Tigers. One moron meth dealer in Indiana thought it would be a good idea for a Tiger to guard his drug house.
There are quite a few people in cemeteries who thought their big cats were domesticated.
“a good idea for a Tiger to guard his drug house.” . . .
Now must confess severe curiosity as to the rest of the story . . .