Selected by the Detroit Lions in the second round of the 1985 NFL Draft, Glover went on to enjoy a distinguished 15-year NFL career. From 1985 to 1997, he served as a cornerstone of the Lions’ offensive line, playing a key role in the success of Hall of Fame running back Barry Sanders. Renowned for his durability and leadership, Glover earned three consecutive Pro Bowl selections (1995–1997) and All-Pro recognition. He concluded his playing career with the Seattle Seahawks from 1998 to 1999, finishing with 191 career games played and 175 starts. His contributions were later honored with selection to the Detroit Lions All-Time Team and 75th Anniversary Team.

After retiring from the NFL, Glover transitioned into athlete mentorship and administration. He worked briefly as a sports agent before returning to the University of Maryland in 2004, where he spent nearly two decades in the athletic department. In 2017, he was named Director of Player Development for Maryland Football, overseeing programs focused on leadership, community engagement, career readiness, and alumni relations. Glover retired from the university in 2024. He and his wife, Cestaine, reside in Columbia, Maryland, and have three children: Maya, Matthew, and Zaria. His legacy reflects excellence on the field and a lasting commitment to guiding future generations of athletes.