I don't know what TV he's using at all, so I'm at a loss to some degree.
It's an entirely reasonable question to ask what the make and model is and then to check the user guide for supported formats. There are no universal formats with these manufacturers. The most reliable solution would be to create a looping Blu Ray physical disk from either Compressor or FCPX. But that assumes you have access to a burner and playback device. Another option would be to play the video file from a laptop.