That's what Jira is for, to be available over a network.
I suspect your question is a bit deeper than "put Jira on a server that people can get to over the internet and you're done". I think you're asking about "where and how"
A lot of Jira installs are part of an organisation's website, not the whole site. It's a bit more complex than this, but you will generally find two ways it is done.
Imagine my company's website(s) - obviously, we have adaptavist.com, and let's keep it simple and imagine we've got only one Jira (data center install) to expose to the public. We could use
But, we also have some Cloud instances of Jira. We are currently bound by where Cloud runs (see CLOUD-6999), but we use standardised names based on
So I guess my question is could you explain what you're looking for in "publishing it in public"?