You could watch American Crime Story on cable TV channels that have the rights to air it. Check your local TV listings for specific times and channels. Also, some online subscription services offer it. Do a quick search to find out which ones.
You can watch it on popular streaming platforms like Netflix or Hulu. Just search for the show and start streaming.
American Crime Story can be watched on various platforms. You might find it on Amazon Prime Video or even on the official network's website if they have a streaming option. Just make sure you have a valid subscription or payment method if required.