Hi Sandy,
The firmware update from HP was packaged by HP and if they have built in a deployment method for the firmware, you would have to go with what HP has suggested.
This being said, I'd like to know if you utilize a central management tool/utility, like SCCM, Alteris, Bigfix, Landesk for software deployment for your environment. As an example, if you were using SCCM, you could identify all of your AMT systems and deploy the firmware fix. Whether this can be performed without user intervention is dependent upon the way that HP has packaged their release of the firmware update. They would know if there is a silent option and be able to provide those details to you. When the update is applied, the system will restart, however.
Regards,
Michael