After two unimpressive years with the Chicago/St. Louis Cardinals of the NFL, Glick joined the Houston Oilers in 1961, where he made the most of his new opportunity.
A starting Safety for the majority of his Oilers career, Glick helped his new team win the AFL Championship. He then began a three-year run as an AFL All-Star, with the middle campaign seeing Glick record an AFL-leading 12 Interceptions and earn a First Team All-Pro. Glick played until 1966, when a back injury forced him out. He would have 30 Interceptions for Houston. He would also have 910 Return Yards.