Google News Publisher Center handles the HTTP to HTTPS moves transparently. In
general you don't have to do anything from Google News perspective, unless you're
also making use of News sitemaps. In that case,
contact the News team
and let them know about the change. You can also let the team know about changing
sections, for example in case you're moving to HTTPS, you can specify that you're
moving http://example.com/section to
https://example.com/section.