Can I move Virtual machines across regions?

Yes, Customers or partners can end up in a scenario where a specific choice of Virtual machine build or configuration is not available in their region, or might end up having to migrate their virtual machines to a new region due to change of business needs.  In this scenario, one can choose to deallocate and get the images copied over to the new storage account in the other region and get the VM recreated. Refer to steps here.