Pet Healing Station
From Starbounder - Starbound Wiki
Pet Healing Station is a station used for healing the health of pets contained in capture pods. It's crafted at a Pet Station.
And yes, that does mean that it can also very conveniently bring your captured pets back from the dead.
The health can be viewed inside the player inventory window while the pet is out. Placing the capture pod in the healing station and clicking the 'heal' button will return the creature inside to full health.