Yes, some animal like a bat or a pig or a pangolin or a chicken.
The word zoonoses is a hundred per cent Greek, and there is, sadly, a strong current need for it. It's a good and necessary word.
So the only reason for disliking it is that it doesn't describe something altogether more lovable, like the snout of a tapir:
photo by Bernard Dupont https://www.flickr.com/people/65695019@N07
the trunk of an elephant:
photo by Rick Kimpel
or the adorable snoot of a koala:
photo by Erik Veland
Still, the singular form of the word, zoonosis, looks fairly scary, and can in almost all circumstances be used as an alternative.
Thank heavens for that.
Sunday Rest: zoonoses. This word comes from the Greek zōion, animal and the Greek nosos, which means disease.