Hi @Takami Chiro ,
Yes, Hyper-V will save the virtual machine state when the host shuts down and automatically start it when the host starts by default. These actions can be configured in Automatic Start Action and Automatic Stop Action in VM settings.
If the domain controller is a VM on this host, it's best to move it to another host before you shut the host down.
Best Regards,
Ian Xue
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