Thanks to @Sunstone 's sage list of topics that must appear on RF or nowhere in the universe, this question needs to be explored.
It's usually asked in the form "Do dogs have Buddha-nature?" From a Tricycle piece. and in the highest tradition of selective quoting to reinforce my biases:
https://tricycle.org/magazine/does-dog-have-buddha-nature/
[A student] asked: “Does a dog also have buddha-nature or not?” The master said: “The [road] in front of every house leads to Ch’ang-an [the capital].”
Here Chao-chou affirms that all sentient beings do in fact have Buddha-nature, dogs included, but again he implies that they need to wake up to that fact if it is to do them any good. The “road that leads to Ch’ang-an” may run in front of every house, but unless one actually travels it, the sights and smells of the capital can only be imagined.
...
My Mu is a beloved pet, but he surely has not glimpsed his own Buddha-nature. Nor does he recognize that of squirrels: The mere sight of one, and all of his bad karma, born of beginningless greed, hatred, and delusion, comes rushing out in an eye-popping, hackle-raising snarl. And when it comes to oak trees, lamp posts, and other insentient things, not even their Buddha-nature can save them from the indignity of being his territorial markers.
It's usually asked in the form "Do dogs have Buddha-nature?" From a Tricycle piece. and in the highest tradition of selective quoting to reinforce my biases:
https://tricycle.org/magazine/does-dog-have-buddha-nature/
[A student] asked: “Does a dog also have buddha-nature or not?” The master said: “The [road] in front of every house leads to Ch’ang-an [the capital].”
Here Chao-chou affirms that all sentient beings do in fact have Buddha-nature, dogs included, but again he implies that they need to wake up to that fact if it is to do them any good. The “road that leads to Ch’ang-an” may run in front of every house, but unless one actually travels it, the sights and smells of the capital can only be imagined.
...
My Mu is a beloved pet, but he surely has not glimpsed his own Buddha-nature. Nor does he recognize that of squirrels: The mere sight of one, and all of his bad karma, born of beginningless greed, hatred, and delusion, comes rushing out in an eye-popping, hackle-raising snarl. And when it comes to oak trees, lamp posts, and other insentient things, not even their Buddha-nature can save them from the indignity of being his territorial markers.