I don't think there is an LTE market anywhere else in the world that has coverage even close to Verizon's coverage here. So for it to be a global phone on Verizon it would have to have a GSM radio as well as a CDMA one. When we are talking about 4G LTE, it will need an LTE radio as well, as there are no combo radio chipsets. That is why I think Verizon does not have any global LTE phones. There just isn't enough space to fit all three radios in there. The LTE version Galaxy Nexus will be thicker than its GSM counterpart, but I seriously doubt they could squeeze all three radios in a phone and still keep it relatively thin. Sorry for the long answer.
The short answer is: No Way.