Rooting HTC One M7 Verizon
http://theroot.ninja/

Support almost all HTC devices, starting with HTC M7 up to HTC 10 and also Motorola's.

The only chance that you have is the Sunshine root app. But this is a paid method, and there is not free version.
It will check if the device is supported and if root is available and then ask you to pay using Paypal (that was the last method when i used it awhile ago).