He has moved up north for a week, and has been working with Warburton hoping to catch the manager’s eye, ahead of potentially being offered a deal at Ibrox.
Glendon is a 20-year-old midfielder, and a former England youth international, and has spent this season captaining City’s Under-21 side in the Under-21 Premier League.
He was named on City’s senior substitutes bench for the Champions League game against Sevilla, although he did not come off the bench, and he has yet to make his debut for his hometown team.
Glendon played for City’s youth team during the NextGen Series, which was run by current Gers boss Warburton, and the manager is said to be a big fan of the midfielder.
Glendon is highly rated at City, and any potential deal with Rangers will likely be a loan agreed in January until the end of the season, allowing the youngster to continue his development in a competitive and physical league.