Purdue University’s Online Writing Lab provides excellent advice for citing online audio recordings such as podcasts in Chicago Style.

Episode

FormatLast name, First name of Creators. “Episode Title.” Podcast Name. Date of Publication. Podcast, MP3 audio, Episode Length. Link.
ExampleJames, Alyssa A.L. and Brendane A. Tynes. “What in the Misogynoir?!” Zora’s Daughters. July 22, 2020. Podcast, MP3 audio, 1:22:02. http://zorasdaughters.com/episodes/what-in-the-misogynoir
In-Text(James and Tynes 2020)

Episodes with Guests

FormatCo-hosts and guests. “Episode Title.” Podcast Name. Date of Publication. Podcast, MP3 audio, Episode Length. Link.
ExampleJames, Alyssa A.L., Brendane A. Tynes and Chrystel Olouko├». “Lorde Take the Wheel.” Zora’s Daughters. September 17, 2020. Podcast, MP3 audio, 1:31:56. http://zorasdaughters.com/episodes/lorde-take-the-wheel/
In-Text(James, Tynes and Oloukoï 2020)