Interview – Published in a magazine, newspaper, website, or on TV/radio.
Citing an interview in print
Interviewee Last, First M. “Interview Title.” Interview by First M. Last. Magazine Name Date Month Year: Page(s).
Obama, Michelle. “Oprah Talks to Michelle Obama.” Interview by Oprah Winfrey. O, The Oprah Magazine Apr. 2009: 116-125. Print.
Citing a personal interview
Last Name of Interviewee, First Name M. Type of Interview (Personal Interview, Phone Interview, Skype Interview, etc.). Date.
Cloyd, Allison. Personal interview. 24 July 2014.
A great place to go for many citation and quotation questions is the Purdue OWL. On their MLA guide, it specifically breaks down examples for how to go about citing and using varying resources. Here's their page that includes information regarding personal interviews: https://owl.english.purdue.edu/owl/resource/747/09/
And here's what they say:
"Personal interviews refer to those interviews that you conduct yourself. List the interview by the name of the interviewee. Include the descriptor Personal interview and the date of the interview.
Smith, Jane. Personal interview. 19 May 2014."
This refers to the citation on the Works Cited page. For quoting in-text, you would then follow the standard MLA way of quoting and citing in-text, which means unless you mention the interviewee's name in the sentence you would put their last name in parenthesis at the end of the sentence. What you put in parenthesis in-text in MLA should correspond to the first part of your citation on the works cited page. In the previous example your in text citation would be (Smith) unless you referred to the interviewee by name in the sentence.