He is best remembered for his 14 years as a full back and utility player with Brentford, for whom he tops the all-time appearances list with 559 and was also captain of the club.
[4] He began his Brentford career as an inside left and scored his first goal for the club after 20 seconds of an eventual 4–1 defeat to Blackburn Rovers in September 1949.
[4] Coote's Brentford career failed to ignite until player-manager Tommy Lawton selected him as left half for a match versus Notts County in March 1953.
[7] At the end of the 1960–61 season, Coote was jointly-awarded a testimonial with Johnny Rainford versus an All Star XI for his service to the club.
[4] Coote's career virtually ran in parallel with goalkeeper Gerry Cakebread and both players were named on the team sheet together 357 times.
[2] He was awarded a second testimonial versus West Ham United, managed by Ron Greenwood, in September 1965, from which he earned more than £1,000 (equivalent to £24,500 in 2025).
[7] After retiring from football, Coote used the £1,000 earned from his second testimonial match to buy a three-bedroom semi-detached house in the Brentford area.