When he is not recording and gigging, Zinn is teaching the best and the brightest jazz musicians in the country. He is the Director of Jazz Studies at the California State University East Bay, the Director of the San Francisco Jazz Festival High School All Star Combo, on the faculty of the University of California at Berkeley, The California Jazz Conservatory, and taught at the Brubeck Institute. Zinn’s private studio is home to a list of multiple winners of full scholarships to schools such as the Boston Berklee School of Music, winners of the Jimmy Lyons Award, winners of the Downbeat best high school and college musician awards, winners of Thelonious Monk Institute scholarships, Grammy Band participants, and countless all star band members for famous jazz festivals. Some of his students include Dayna Stephens, Mark Zelesky, Chad Lefkowitz-Brown, Albert Baliwas, Jill Ryan, Natalie Cressman, Remy LeBoef, Pat Carroll, Hitomi Oba, Jesse Scheinen, Ben Flocks, and Kenny Shanker. He has directed Ambrose Akinmusire, Justin Brown, and Elena Pinderhughes in student ensembles.