The PSNI are trying to trace the animal and are warning members of the public not to go near it.
It went missing on Sunday and is “believed to be currently taking in the sights of beautiful Glengormley”, officers said.
While they are not aggressive, red pandas can become defensive when cornered.
Police said: “Our curious friend has not yet learned the green cross code, so if motorists could also be vigilant!”
Two panda cubs were born at the zoo in June last year but only started to venture outside towards the end of 2018.
Red pandas are slightly larger than a domestic cat, with thick reddish-brown fur.