I'm editing an interview transcript. One of the speakers mentions a concept popularized in an academic paper. Would I add the citation within the interview transcript?
I recommend against adding an in-text citation, but you could use a footnote if you think it's important. But it may not be. For example, if you were interviewing someone about current theories on some topic, and the person referred to 8 different theorists in one paragraph, it would disrupt the reading of the text to add all those citations. An interview is what it is---less formal spoken language unburdened by the necessity of validating statements with citations. You can add bracketed changes to a transcript when something is really unclear, but you shouldn't amplify someone's speech because you think it's missing something. Take it as it is and do any amplifying in the following text.
Personally i would an in text citation, but that's me. i despise footnotes. I do end-notes in addition to references. but that is me and i found putting footnote into Microsoft word extremely frustrating. but that 20 YEARS ago. I wrote half my master's thesis LONGHAND while i was snowbound for three days. Classes were cancelled. Then I had to transcribe that
This web page Gives good reasons for WHY and how to reference interview transcripts for dissertations: