My battery and charger guide for the Sony a7III covers all you need to know about which batteries and chargers are supported, both original and third party.
7299 NP-FZ100 Dual Channel LCD Battery Replacement for Sony A7III A9 A7RIII A7SIII
Recommended Third-Party NP-FZ100 Batteries & Chargers for Sony
Sony a7III Alpha Mirrorless Digital Camera (a7 III Body) ILCE-7M3
Sony A7R Review and Setup Guide with Example Images
NEEWER NP-FZ100 Sony Replacement Battery Charger Set - NEEWER
Battery and charger options for the charger-less Sony a7 III - Newsshooter
2600mAh NP-FZ100 NPFZ100 Battery+LCD Rapid Dual Charger For Sony NP-FZ100, BC-QZ1
NEEWER NP-FZ100 Sony Replacement Battery Charger Set - NEEWER
Sony a7III Battery and Charging Advice From a Pro
Battery and charger options for the charger-less Sony a7 III - Newsshooter
15 Tips & Tricks For Your New Sony a7C, a7III, and More
Battery Charger for NP-FZ100, BC-QZ1