Hi,
If the host on which vCenter server failed, HA will trigger and power On the VM on other available ESXI host. If you want to have continuous availability of vCEnter , then only option is to have vCenter HeartBeat, in your case it is not possible since this is available only for windows base vCenter server.
Also vCenter will come up on other available host, if host having this vCEnter machine goes down.
Regards
Mohammed Emaad