Good day to you,
to register your site to Google News you must start from here:
https://support.google.com/news/publisher/answer/40787?hl=en
Notice that Google has strict requirements for news published on your site. They will go through your site to manually approve your request.
The Google News publisher center will list all your sites with verified ownership, and a button 'request inclusion in google news' will allow you to submit your request:
https://partnerdash.google.com/partnerdash/d/news#p:id=pfehome
greetings,
John
