Be prepared that it may not as it is not a Verizon tested phone. Unless you get a device from Verizon directly or a Verizon branded phone there is no guarantee that it will work fully with all network capabilities.
That suuuuuucks. The phone has a 5000 mAh battery which is unheard of but the Verizon version only has 16gb and we KNOW that's not enough to do anything with, even with expandable storage.
I can unfortunately confirm that the unlocked E4 Plus 32GB does not have Advanced Calling, VoLTE, or Wi-Fi Calling, and dumps the data connection anytime you're using the phone - something the local Verizon factory store rep told me would not happen before I ported a number to Verizon. This phone is essentially worthless for my needs, despite the fact it's one of the few 32GB phones that can be used on all US carriers. Which truly sucks.
The unlocked phone is NOT certified by Verizon for use on Verizon's network. When you are buying device that aren't certified by the carrier on which you wish to use them, you run the risk of not getting the features the carrier offers.