Upgrading and Patching single host with 3 VM's and vCenter Appliance

I've been tasked with updating a host server to resolve an issue of a VM dropping off the network constantly.  As the title suggests, this is a single host environment with 3 VM's and the vCenter appliance running on it.

Host: ESXi 6.0

vCenter Applicance: 6.5

I'm not clear on the patching process for the reason that the documentation says to shut down all VM's and appliances, put the host into Maintenance mode, then run the updates.  However, it seems that if the vCenter appliance isn't running I wouldn't be able to run updates from the web client.

Would it, for this reason, make sense to install vCenter server on a different server onsite?

Thanks!