Apple Now Offers Ability to Embed Podcasts on Websites
https://techcrunch.comApple Podcasts embed web player is now available, allowing anyone — including creators, listeners or marketers — to generate embed codes for the more than 1.5 million shows available across the Apple Podcasts service. The codes can be generated from the Apple Podcasts Preview pages on the web or from the Apple Podcasts Marketing Tools website.
Here is an example for Mark Williams-Cook’s Search with Candour Podcast.