Alright, let's get down to business. This has been bugging me for 12+ years.
1. Are there common dogs (even if wild, and not domesticated) in Allanak?
2. Are there common cats (even if wild, and not domesticated) in Allanak?
3. Can PCs own/pretend to own a (even slightly feral) dog or cat?
4. If the answers are no to the above, why?
1. There are no common canine creatures in Allanak.
2. There are no common feline creatures in Allanak.
3. As there are no common canine/feline equivilants in Allanak, I would say that if you did, it would be either very jarring IG or you would need to be a PC in the position to own such a rare creature.
4. The felines and cannines of Zalanthas are of the tear-your-face-off variety. There have been attempts at domestication, IG, and they have met with varying degrees of success. None of the successful attempts have lead to the sort of creatures which would be able to live within the confines of a city without being hunted for the next meal or hunting the inhabitants for their next meal.
In the far distant past of Zalanthas, I think domesticated animals were far more common. Animals like cats and dogs. With the conditions of the world as they are, now, anything that didn't turn feral and adapt, fast, probably went extinct.