I had tried to find an answer to the same question. Regarding the HC-X20s I bought, I can say that they have a LANC socket. Unfortunately, my Sony tripod remote controls are not compatible and I had to buy new zoom controls for all tripods (Libec ZC-LP Remote Control here at Digitec). That worked before. My cheap zoom controllers from China have a Sony/Panasonic switch. Funnily enough, I have to leave the switch in Sony mode to control the Panasonic. Conclusion: No general statement can be made as to which LANC controllers actually work. Panasonic mode works if specified, but Sony can also work.

Unfortunately, the manufacturer itself does not specify which remote control is effectively compatible or which the manufacturer itself offers. They recommend remote control via smartphone or tablet. Here is a link:
https://www.panasonic.com/de...
Apart from the following remote control, we unfortunately do not have any other alternative that could fit, but the manufacturer also does not specify compatibility:
Aodelan Compatible with Sony Canon Camcorder