Brettany Lawton, who already has a dog, said she was shocked by the exotic present.
"I couldn't talk for like five minutes," she said.
Her dad, Brett Lawton, said he thought it would help teach her responsibility.
"I want her to actually have to come out and do something ... give him water and feed him every day," he said.
Brett Lawton also got his daughter a donkey, saying the zebra needed a pal.