The phrase is likely a piece of or a "meme-ified" expression. It leans into the archetypal "boss and secretary" dynamic, which is a common trope in Turkish cinema (Yeşilçam) and comedy sketches.
A common female name in Turkey, often used in older films or jokes as a generic placeholder for a female office worker or character. Sekreter Jale Aman Patron Sik Beni-
By stringing together these high-status ("Patron") and administrative ("Sekreter") roles with a plea for style ("Şık Beni"), the phrase may be commenting on the superficiality of status and appearance in modern society. The phrase is likely a piece of or a "meme-ified" expression
Refers to the person in charge, denoting power and authority within a workspace. Sekreter Jale Aman Patron Sik Beni-
Often, such phrases are used to poke fun at old-fashioned or cliched office dynamics found in vintage TV shows and movies.