Snyder, the son of former head coach Bill Snyder and a long-time member of the football staff at K-State, becomes the second individual retained from the previous staff.
Prince announced Thursday that veteran defensive line coach and K-State alumnus Mo Latimore would also be retained.
As the director of football operations, Snyder will continue to handle internal operational and administrative matters for the program.
An All-America punter for the Wildcats, Snyder recently completed his 11th year as a member of the Kansas State staff and his fifth as the program's director for football operations.
Snyder received his start as a part-time assistant coach with the Wildcats in 1994 and served in that capacity until 1996, when he began focusing his efforts on the administrative side of the program.
A member of Kansas State's inaugural Ring of Honor Class in 2002, Snyder was one of the program's most prolific punters during his playing days at K-State from 1991-92.
As a senior, Snyder earned first team All-America honors from The Associated Press, Kodak and Athlon's after averaging a school-record 44.7 yards per punt. In 1991 he was tapped as the Big Eight Defensive Newcomer of the Year in 1991 after averaging 40.5 yards in his junior season.
A first team All-Big Eight selection in 1992 after earning honorable-mention in 1991, Snyder was also selected to play in the 1992 Blue-Gray Game in 1992.
K-State Special Teams MVP in 1991 and 1992, Snyder held K-State's records for both punting average in a game (52.8 on 12 punts at Colorado) and in a career (43.0) before having his career punting mark broken by James Garcia in 1998.