He started his professional career at Doncaster Rovers as a 16-year-old in 1977 and remained with the club until June 1985 as they moved up and down between Division's 4 and 3. At Doncaster he made over 300 appearances, many of them alongside his younger brotherIan. In June 1985 he was sold for £135,000 to First Division Sheffield Wednesday, where he stayed for two seasons, playing 59 league games, and also reaching the FA Cup semi-final in 1986, before taking a move down a division to Leeds United from a desire to rejoin former boss Billy Bremner from his Doncaster days. A whole-hearted and dependable player, he scored 13 goals in 116 appearances for Leeds, but found his chances limited by the arrival of Tony Dorigo. By the 1989–90 season he was a fringe player as Leeds gained promotion to Division 1. He then had periods on loan to Oldham Athletic and Rotherham United, before to Scotland to join Joe Jordan's Hearts in March 1992. During his time at Tynecastle he scored once in the UEFA Cup against Slavia Prague, to give Hearts a 4–2 victory which saw them progress 4–3 on aggregate. When Jordan left Tynecastle, Snodin returned South to join Barnsley in July 1993, spending two seasons in the First Division, before a move to Gainsborough Trinity, where he saw out his final playing years with the club, retiring in the summer of 1997.
Coaching career
Snodin initially began coaching youngsters whilst playing at Gainsborough Trinity as he ran the "Glynn Snodin Soccer Academy" at Gainsborough Leisure Centre on Saturday mornings between 1995 and 1997. He then became chief scout at Carlisle United under Mick Wadsworth while he took his coaching badges. He followed Wadsworth to Scarborough as youth team coach, before returning to his first club, Doncaster Rovers as assistant manager to his brother Ian. In 2000, he joined the coaching staff at Charlton Athletic as reserve team manager, leading them to the Reserve League title in 2004 and 2005. He completed his UEFA Pro Licence alongside George Burley and in March 2006, Burley brought Snodin to Southampton as first team coach. In a press conference on 1 June 2007, to reveal Nigel Worthington as the new manager of Northern Ireland, Snodin was made assistant manager and Fred Barber was announced as coach. On 26 June 2007, he joined his former Charlton Athletic colleague Alan Curbishley at West Ham United. When Curbishley left in September 2008 and Gianfranco Zola was appointed in his place, Snodin was not retained on the coaching staff.
Return to Leeds United
On 2 February 2009, Snodin was appointed the new assistant manager of Leeds United. Snodin was part of the Leeds management team who earned a 1–0 win away to Manchester United in the FA Cup Third Round. Glynn had some great times at Leeds, including some famous results in the FA Cup and promotion from League One back to the Championship in the 09/10 season. With Leeds in tenth position in the Championship, three points below the play-off places, Snodin was sacked as assistant manager along with manager Simon Grayson and coach Ian Miller on Wednesday 1 February 2012.
Huddersfield Town
Less than three weeks after leaving Leeds United, the management trio was back in work at neighbouring League One club Huddersfield Town, when on 21 February 2012 Simon Grayson was appointed manager, saying "Glynn Snodin and Ian Miller are the perfect pair to help me achieve success." They won promotion at the end of that season. Grayson, Snodin and Miller were dismissed from Huddersfield on 24 January 2013.