Roeder worked as a coach under Hoddle during his time as England manager.
A much-liked and respected figure, Roeder spent two years in charge of West Ham between 2001-03 and also managed Gillingham, Watford, Newcastle and Norwich.
He played over 500 games as a defender for a number of clubs including Leyton Orient, QPR, Newcastle and Watford, captaining QPR in the 1982 FA Cup Final.
“I was devastated when I heard the news,” Hoddle told Standard Sport. “I know he had been ill for some time but my heart goes out to his family. He was a lovely guy and a really good coach.
“I will always remember the wonderful times we had together. He was one of my coaches with England and the players respected him immensely. He did well as a manager and had a real love for the game. It was great working with him going into the World Cup and all the qualifiers.
“Some lovely memories in training when we used to mess around and playing five-a-sides with the staff. Just a wonderful guy, a great guy. My thoughts and my heart go out to his family.
“I remember playing against him when he was at QPR, Orient, Newcastle too, he was a terrific defender.
“He had this wonderful trick as a centre-back, he used to do a stepover when he was the last man in defence. You knew he was going to do it but centre-forwards could never suss out when he was going to do it.”