[1] In 1966, he began his managerial career in the farm system of the Cincinnati Reds, where over 11 years he rose from Short Season–Class A to the Triple-A level as skipper of the 1976 Indianapolis Indians.

In 1982, he was among several Phillies' instructors and scouts who accompanied Dallas Green to the Chicago Cubs' system, where Snyder was field coordinator of instruction from 1982 to 1986 and a Major League coach in 1987.

Weathering a 1–12 patch from June 8–21, Seattle played marginally better (.429 vs. .411) in its four months under Snyder, but the Mariners finished last in the American League West and at the end of the season, he was replaced by Jim Lefebvre.

Snyder then spent his first term as coordinator of instruction for the Chicago White Sox in 1989–90, returning to the big leagues as a coach for San Diego Padres' manager Greg Riddoch in 1991–92.

After working as a minor-league coach in the Atlanta Braves' system in 1993, Snyder rejoined the White Sox as director of instruction in 1994, serving for a dozen years in that role.