Roeder, who started his playing career with Arsenal, also served as a coach under Glenn Hoddle during England's World Cup campaign in France back in 1998.
Howard Wilkinson, who is Chairman of the League Manager's Association said : "A cultured defender as a player, he managed with a studious style and was always generous with his time and ideas.
"Glenn was such an unassuming, kind gentleman who demonstrated lifelong dedication to the game. Not one to court headlines, his commitment and application to his work at all levels warrants special mention.
"Football has lost a great servant today and our sincere condolences go to Glenn's family and friends."
LMA Chief Executive Richard Bevan added: "Glenn achieved so much throughout his lifelong career in the game. After retiring as a player, he became one of the country's most respected coaches, working across all levels of the professional game, in senior and academy football, and acting as a trusted advisor to many coaches and players.
"At every club, he chose to develop new talent and to give opportunities to the younger players in his charge.
"He will be sorely missed by all of the LMA's members and his colleagues from across the game. Our heartfelt thoughts are with Glenn's wife Faith, his daughter Holly, his sons Will and Joe and all of Glenn's family and friends at this difficult time."
Whilst managing the Hammers in the 2002/03 season, Roeder was temporarily replaced by Sir Trevor Brooking after collapsing following complaints of chest pains.
Scans revealed he had suffered a blocked blood vessel in his brain, which resulted in a stroke.
Roeder's former clubs soon paid tribute, with Newcastle sharing several pictures of his time as player and manager at St James' Park.
The Magpies wrote: "We are deeply saddened to learn of the passing of our former player and manager, Glenn Roeder at the age of 65.
"The thoughts of everybody at NUFC are with his family and friends.
"Rest in peace, Glenn."
A tweet from Norwich read: "Norwich City are deeply saddened to learn of the passing of our former manager Glenn Roeder.
"The thoughts of everyone at the club are with Glenn's family and friends at this very sad time."
Former West Ham United and Newcastle United manager Glenn Roeder has tragically passed away aged 65 after a lengthy battle against a brain tumour.