We already have satellite communications for media and voice, but iirc they have fairly limited bandwidth constraints. I think figuring out a way to get the flight recorder data to operators in realtime would be the first problem to solve, and I don't think it's been done yet for commercial flights.

There was a startup around like 5-6 years ago (gone now, can't find any info on them, their name was "Flamingo" something or other) that had a proof of concept solution but they burned out quickly.