You could also host it yourself using Digital Ocean or Amazon AWS.
On-premise could also mean, you self-host it using your own server within your intranet. You can use this help desk software on-premise or cloud-hosted by Enhancesoft’s own hosting environment, which requires you to signup for a paid account. Take note, though this software is free, it comes packed with features and tools like what’s available on commercial helpdesk software out there on the Internet. It is considered as flexible, and one of the most reliable and hassle-free help ticket systems available on the Internet. OS Ticket, stylized as osTicket, is known in the open source community as free helpdesk and support ticket system.