Board Game Arena

Hey all. I have almost never seen a fast turn-based game of Terra Mystica on this site and wanted to check with someone who has a Premium account: is it an option?

Is there any way to set an alert for when a fast turn-based Terra Mystica table opens?

It is an option. Up to 24 moves per day.
It's an option for all games, unless for some reason the game isn't available for turn-based, like Celestia and Millers Hollow.