The phrase "to request an interview" means to ask or formally seek permission to have a conversation with someone, usually for a job, research, or media-related purposes. Full definition
A journalist requested an interview with me last week to talk about audiobook narration, my favorite topic. (karencommins.com)
Follow up the next week requesting an interview for your blog or a coffee meet up. (careerdigital.com)
Use a few bullet points to draw attention to key accomplishments, skills, or experience (that show how you make an impact) and always end your letter by requesting an interview! (breakthroughresumes.com)