There is no overarching network channel in Eorzea, however, the City States do have newspapers - or had anyway.

The Harbor Herald is a newspaper published in Limsa Lominsa, The Raven the counterpart of Gridana and the Mythril Eye the counterpart in Ul'dah. There are still promotional fireworks for them that you can get via PotD and you can read the old issues on gamerescape to get a glimpse on how informative they were and what their reach was.

There hasn't been any new issue since the calamity, so that might indicate that they are no longer a thing in universe, but it might just be that they simply didn't feel like continuing making them.