The answer is YES, YOU CAN CONNECT YOUR APPLE TV TO HOTEL WI-FI!
There are two main things you have to know:
1. What is the MAC address of the Apple TV that you own. Though pronounced the same as Mac, it refers to an industry standard of identinfying a specific device. It stands for Media Access Control.
2. Who is the provider that the hotel is using.
TO FIND THE MAC ADDRESS:
This can be done before you pack your Apple TV and leave your house.
1. Connect your Apple TV to the TV... turn both on... blah blah blah... Apple TV is displayed on the TV
2. Go to Settings > General > About
3. The MAC address is labeled as "Wi-Fi Address" in this situation (SEE PHOTO BELOW). It will be a set of 6 pairs of alphanumeric characters, each pair separated by a colon. For example... 00:11:22:cc:bb:aa (they'll look more random than this, but I didn't want to take a chance on posting someone's real MAC address)
4. Write down that address. This is NOT CASE SENSITIVE.
THE HOTEL'S SERVICE PROVIDER
The service provider's information will typicaly be right in the hotel room because there is no reason for hotel staff to have to troubleshoot this stuff for us.
1. Call the support number and follow their prompts to get to a support agent.
2. Say, "Hello! I have an Apple TV, and I understand I can connect to your service by registering the MAC address with your service."
3. They will ask you several questions to verify that you are staying at one of the hotels they service.
4. Follow their instructions for registering the MAC address
5. On your Apple TV, go to Settings > General > Network > Wi-Fi, and select the hotel's Wi-Fi.
6. Voila! CONNECTED and Ready to Go!!!