When taking a memory snapshot of the vCenter Server Appliance(vCSA), managed ESXi hosts change status to "Not Responding" in the vSphere Client.
This issue occurs when the "Include virtual machine's memory" option is selected during a vCSA snapshot.
A memory snapshot requires capturing the entire memory allocated to the virtual machine.
Because the vCSA typically has a large memory footprint, this process can degrade its performance for an long period.
During this time, the vCenter Server process may fail to process heartbeat signals from the managed ESXi hosts.
Consequently, the vCenter Server considers the ESXi hosts unreachable, causing them to transition to the "Not Responding" state.
When taking a snapshot of the vCenter Server Appliance, deselect the "Include virtual machine's memory" checkbox.
Alternatively, perform file-based backups via the vCenter Server Management Interface (VAMI) instead of taking a virtual machine snapshot.