Oh no! None of your pets are eligible for battle. You might want to make sure that they're well fed and happy!
So my pet Sungjae is fully fed, happy and at full HP.. Are there any other requirements to be able to start a battle?
- check your pet isn't already in a battle.
http://subeta.net/games/battle/stats.php
You can withdraw from there, and start again.
Did you recently adopt your pet? You can't battle with adopted pets for 30 days. Newly created pets are fine though. link