After using a redshirt season in 2013, McGloster played college football for the Syracuse Orange from 2014 to 2017.

[5] McGloster signed a practice squad agreement with the Los Angeles Chargers on October 2, 2018.

[7] He remained on the practice squad and signed a futures contract for the 2019 season on January 2, 2019.

[10] He made the team's active roster, but was the reserve player for the first three weeks of the regular season.

He began the 2021 season on the practice roster, but made his long-awaited professional debut on September 11, 2021, against the BC Lions.

[20] Following an injury to the incumbent right tackle, Landon Rice, McGloster started the week 6 game against the Calgary Stampeders on July 30, 2023.