Can I recharge my GoPro batteries with the cameras mounted?

Yes. You can simultaneously charge and record with the cameras mounted by Z2XC, Z3X, Z4X. To do this, you can use the supplied USB cable. Use that to connect your camera to USB wall charger or auto charger that outputs 5V and 1A.  You might want some mini-USB plugs with slimmer design. It is also easy to craft the mount a little to fit your cables. From our experience, a fully-charged battery approximate last 45mins when shooting continuously.