The polytech isn't naming them, but a spokeswoman admits she "took the mickey" when they called.
While many believe newspapers are birds of a feather, the Herald was not one of the outlets that fell for it.
Other commenters got into the April Fool's spirit, with one saying that walking penguins would clash with her schedule teaching synchronised swimming to turtles.
Between those getting in on the joke, and those who fell for it, the post went viral.
209,000 people were reached across the world, including China, the Philippines, South Africa and UK.
8700 people reacted or shared, while 3300 people commented.
Otago Polytech's marketing team are thrilled, pointing out the post went further than the efforts from giants such as KFC or TradeMe.
One of their designers, Sam Hendry, took a photo with a leash attached to a piece of wood, before photoshopping in the penguin with a collar.
Digital media specialist Hayden Parsons took the photo, while communications co-ordinator Megan Martin wrote the post.