Glazier's involvement in football began with a spell as a member of the ground staff at Third Division club Torquay United, before he was released due to lack of funds.
[2] He quickly displaced Vic Rouse as first-choice goalkeeper and was an ever-present during the 1963–64 season, in which the club secured promotion to the Second Division with a runners-up finish.
[1] The move was helped along by Jimmy Hill (by now working as a broadcaster), who put Glazier in touch with Brentford manager John Docherty, who had been looking for a goalkeeper after loanee Steve Sherwood returned to Chelsea.
[2] Business interests and problems commuting from his Brighton home meant that Glazier couldn't give his full commitment to the Bees and he left the club after making just 12 appearances.
[10] One of Glazier's caps came against Romania at Highfield Road (home of his then-club side Coventry City) drew a crowd of 27,476, one of the highest attendances for an U23 match in England.