Since according to the Bible, animals are created to praise the Lord
As far as I’m aware, that’s from Psalm 148, which also talks about mountains praising the Lord, so I think it is safe to say that praising the Lord isn’t the same for an animal as it is for a person. Natural law helps guide us, as moral agents, towards making right decisions. If we started applying it to animals, we’d get some really weird definitions of what is moral.
I am talking about cats and dogs.
Which are still animals and still relevant to a discussion on whether or not animals are subject to natural law.
They were created to be friends of man
That depends on where you want to go with it. Both dogs and cats were originally created as wild animals.
At some point in history, humans and certain wolves realized that it was advantages to help each other, and over time humans exerted their dominion over dogs to breed them for specific purposes. As such, dogs and humans very much evolved together, and dogs over time became good companion animals for people.
Cats are a little more complicated, but a lot of it is similar. Ignoring cat worship, certain cats, particularly some African wildcats, and people realized that there was mutual benefit to having each other around. Over time, humans also began breeding cats, and the mutual benefit each gets from the other has kept cats a popular pet.
In neither of these cases was the animal originally created in what we would consider as friendly. Sure, to an extent, humans can still get along with wolves and African wildcats, but we would consider them wild and, at least in the case of wolves, probably not someone you try to go out and play with. (African wildcats, as far as I’m aware, aren’t dangerous.)
So in a way, the very fact that these are pets are a “violation” of how God originally created them. Most domestic dog and cat breeds came about because we, over hundreds to thousands of years, bred them for looks, behavior, jobs, etc. But again, God gave us dominion over them, and barring abuse of the system, domestication has worked out really well for both. There come times, though, that the best thing for them is to stop their breeding, because they, unlike us, have no capacity themselves to stop doing it just because it is bad for them.