If your current configurations (e.g. device-management address, server address/FQDN, certificates, etc.) are compatible with  those  for managing devices over the internet, then you likely just need to re-configure some filewall rules to allow devices over the intenet to be managed.

Otherwise, on top of the firewall reconfigurations, there might be different MobiControl server reconfigurations required for EACH device-platform you are using.

In the worst case,  enrolled devices of specific device platform(s) may also need to be deleted (or even factory-reset) and re-enrolled to MobiControl server after the reconfigurations, depending on the exsiting and target modes of the enrolled devices.