Zilner Trenton Randolph (January 28, 1899 – February 2, 1994) was an influential American jazz trumpeter, arranger, and music educator. Born in Dermott, Arkansas, Randolph pursued his education at Biddle University, the Kreuger Conservatory, and the Wisconsin Conservatory of Music. His musical career began in the 1920s, playing in St. Louis and later joining Bernie Young's band in Milwaukee from 1927 to 1930.

In 1931, Randolph moved to Chicago, where he became a trumpeter and arranger for the legendary Louis Armstrong during several periods in the early 1930s. He contributed to Armstrong's recordings and composed the tune "Old Man Mose." Randolph also collaborated with Carroll Dickerson and Dave Peyton in 1934 and led his own band in Chicago later that decade. His arranging talents were sought after by prominent bandleaders such as Earl Hines, Woody Herman, Fletcher Henderson, and Duke Ellington. In the 1940s, he led a quartet and shifted his focus primarily to music education, although he recorded as a pianist in 1951.

Randolph retired in the 1970s and passed away in Chicago in 1994. His musical legacy continued through his children; his daughter, Hattie, became a vocalist, and his son, Lucious, a trumpeter, both of whom performed with Sun Ra's band in the 1950s.