Você verificou as melhores práticas da Microsoft para executar o Linux no Hyper-V ? Em particular, você pode querer usar um endereço MAC estático para evitar perda de rede após migrações.
Linux virtual machines that will be deployed using failover clustering should be configured with a static media access control (MAC) address for each virtual network adapter. In some versions of Linux, the networking configuration may be lost after failover because a new MAC address is assigned to the virtual network adapter. To avoid losing the network configuration, ensure that each virtual network adapter has a static MAC address. You can configure the MAC address by editing the settings of the virtual machine in Hyper-V Manager or Failover Cluster Manager.