Glasgow came to Michigan as a walk-on in 2011, but earned a scholarship in the spring practice portion of the 2013 season.

Following the 2015 season, Glasgow was named the team's Hugh R. Rader Memorial Award recipient as the top offensive lineman and earned honorable mention All-Big Ten Conference accolades from both the coaches and media.

[3] Halfway through the season he took over as the Lions starting left guard after struggles from former first-round pick Laken Tomlinson.

[10] In Week 9 of the 2021 season, Glasgow suffered an ankle injury and was placed on season-ending injured reserve on November 9, 2021.

On July 14, 2014, he was sentenced to one year of probation, after entering a guilty plea to operating while visibly impaired.

[21] In April 2022, Glasgow became part-owner of Limitless, an Esports organization with teams in Rocket League, Valorant and Counter-Strike: Global Offensive.