TrainerRoad doesn't offer an Apple TV app. The TrainerRoad application is available for download on all other major platforms including Android, iOS, Windows, and Mac.
Download the TrainerRoad app here: Download
Note: As a workaround, many modern devices running TrainerRoad can "stream", "mirror", or "cast" their display to an Apple TV device or Smart TV.
How to Stream or Mirror your TrainerRoad Display to a TV
Athletes who desire to see TrainerRoad on an external TV monitor while training can do so via a workaround. This workaround is dependent on if you're using a device that can "stream", "mirror", or "cast" their display to an Apple TV device or "Smart TV".
Many modern iOS and Android mobile devices can stream/mirror/cast their displays to another device. Some Windows and Mac machines can also stream/mirror/cast their displays.