The name was, at least for decades, best known as a masculine nickname for "Zachary" or "Zechariah", from its use by J. D. Salinger for his character Zooey Glass.
It also bears some resemblance in pronunciation to the feminine name Zoë, and has been used as an alternate spelling of that name.
Those bearing the name include:
Zooey Deschanel, an American actress and singer named after the Salinger novel. (She pronounces it as "Zoë.") with Conan O'Brien, at 3 minutes 59 seconds (To be precise, she pronounced it in that way in recounting a letter purporting to be written to her by her missing stuffed animal.)
In fiction
Zooey Glass, male Jewish character in Franny and Zooey and other parts of the Glass family narrative of J. D. Salinger
Zooey, truck (anthropomorphized as female child) in Bigfoot Presents: Meteor and the Mighty Monster Trucks