Only cite an interview if it is retrievable. If it is not to be accessed by the reader, follow the guidelines for personal communication or research interviews depending on its nature.
Interviewee, A. A. (Year, month day interviewed). Title of interview [Interview]. Website. http://xxxxx
Miller, C. (2019, October 7). Chanel Miller - Turning her pain into a rallying cry with Know My Name - Extended interview [Interview]. Comedy Central. http://www.thedailyshow.com/watch/tue-september-18-2012/salman-rushdie
As in-text citation:
(Miller, 2019)
Source: Publication Manual, 10.13 (example 95)