Link podcast to the Amazon Echo Alexa app, so one can listen to podcasts via the Echo.
João Eduardo Dias commented
Thompson Ford commented
You can connect podcast via bluetooth on your Amazon Echo. If you need any guidance related to Amazon, you can find the instructions on https://www.amazon-fire-stick.com/.
Play Fi is a more open system and it works great!
In the meantime, you can just connect your device to Echo bluetooth. Echo will be an audio output device, just like any bluetooth headphone, portable speaker, etc . . . Consult Echo documentation for pairing bluetooth devices.
Getting approved for Amazon Alexa, Sonos, etc . . . is very expensive and time consuming. But you can do what you want right away. Hope this helps.