Yes. TNF is listed as included with prime subscription its product page Source.

The NFL's press release on it also says its for people with prime.

The Thursday Night Football games will be made available to the tens of millions of Amazon Prime members worldwide, on the Amazon Prime Video app for TVs, game consoles, set top boxes and connected devices, which includes Amazon Fire TV, mobile devices and online. The TNF games will also be available to Prime Video members internationally in over 200 countries." Source

As an aside, if you're not sure about it, the Amazon ecosystem is a solid one. I probably get my money back on it in free/expedited shipping alone, and the music, tv, movies, etc is just an added bonus.