Two I found.
This one popped into my hands when I found a dead butterfly when I was 11, and wanted to have funeral for it: Psalm 50: 10-12...for every animal of the forest is mine, and the cattle on a thousand hills. I know every bird in the mountains, and the creatures of the field are mine.
This one I found, trying to find the specifics of the first one to reference.
Isaiah 43:20...the wild animals honor me,the jackals and the owls, because I provide water in the desert and streams in the wasteland.
As for praying for the animal, I used to think thanking the animal and God was necessary, but hunting one is different.