The hotplug is function of the controller, not of the disks. If controller supports it, it will work with any disks supported by the controller.
Normally, for the list of supported disks, you can refer to the hardware compatibility list on the HP website; it's often given to specific server version. But since your server is gen 6, it is EOL (end of life) and out of support, which means, you probably won't find that information on the web site anymore. It's recommended to replace the server, not disks.
With disks that should be compatible (that is, any SATA or SAS devices), but not listed, YMMV. You can try to screw the failed disk out of the caddy and screw the new disk in, then plug it in. Most likely it'll work, but the controller will complain that you have an unsupported disk, and it will always be in a "warning" state on that grounds. Since your server is out of support anyway, this probably wouldn't make things any worse than they are now.
Your replacement procedure is correct, although modern versions of this software are called simply ssacli, not hpssacli (and, for completeness, not hpacucli, which is the ancient name of the same program).
hotplug, but I did not understand whether this function will work with these disks?the disk is mounted in a caddy with a button and pull lever on the front. If the replacement disk does not have this, it will not work.