Greenspan's first college coaching job was at Indiana, acting as an assistant coach in various roles from 2009 to 2014. Before the 2015 season, Greenspan joined the
Arizona State Sun Devils baseball team as an assistant coach. In 2018, Greenspan was promoted to associate head coach until 2021. Greenspan then joined the
Cal Poly Mustangs baseball team as an assistant coach in 2022, spending one year there. After his sole year at Cal Poly, Greenspan became an associate head coach again, now joining the
Michigan Wolverines baseball team for the 2023 season. Following one year at Michigan, Greenspan was hired as the head coach on August 18, 2023, for the
Northwestern Wildcats baseball team before the 2024 season. ==Head coaching record==