If you have predator spirits this will be easier for you then those with prey spirits.
Just letting you know.
1) to calm your pet is to become one with your spirits. And to do that I recommend meditation in silence. But there are different hand positions for predators and prey.
For predator it's a claw position with the palm of the hand faced up.
And for prey it's best to just have your hands flat.
2)call upon your spirit(s) and just let your creature's spirit guide your hand to your pet. And gently place there head to the floor (if you are dealing with a house pet comment if you are not and I will do my best to make a chapter for your situation. If you are dealing with a aggressive house pet comment your spirit animals and the breed and gender of pet and I may just know how to help).
3) whisper to your animal what your spirit is telling you.
All the while think this:I summon the ancient spirits of nature to hear my call. I know your creatures are not to be tame but help me for I am also one of your creatures.
If it helps whisper it until your spirit tells you what to do.

You may have to do this a few times. Just be confident about what you are doing and saying.