I don't want to have that pet active
Click on the paw print above your weapon skills. I think the default key might be K, or maybe I changed that. You can set your 2 land pets and 2 water pets.
I may be wrong but they might have put a level limit to this feature.
If you are new to this game, there might be a ding that will give you further instructions and naturally the option to swap your pets.
It’s just as Fluffball said. The Paw icon appears if you hover your mouse over the portrait of your pet on the left bottom part of your screen (where pet abilities are).
If there is no such icon yet – you’ll have to level up a bit till this feature unlocks to you.
“Observe, learn and counter.”
(edited by Tragic Positive.9356)