Begin by making an accessible website. This is so that persons using assistive technology can access your podcast.
Provide an accessible media player for your podcast.
Add a text transcript for the podcast. Not having a transcript makes the podcast inaccessible. Include more than the spoken parts, such as background noise, sound effects, and any sound that may be relevant to the spoken words. Avoid auto transcription. You need to be able to edit.
Provide closed captions if the podcast includes a video or video snippet.
Explore alternative ways to offer the podcast. It could be a zip file for download an play in a users preferred media player, or a video of you reading the podcast transcript, or make the podcast work with voice controls like Alexa.