Savage was part of a squad which appeared in two League Cup finals and cemented itself as a Premier League force to be reckoned with.
He believes he deserves greater respect for the role he played during a memorable era for the club - and has blasted those supporters who feel the need to jeer him.
Savage said: "It's disappointing, but I don't really care. It just proves that some fans can be fickle.
"I was one of their all-time best players and played in one of their best midfields ever.
"Me, Muzzy (Izzet) and Neil Lennon were the best midfield the club has ever had.
"When I went back to the Walkers Stadium, I got booed there as well.
"All credit to the Derby fans who gave Steve Howard and Matt Oakley such a great reception.
"They deserved it because they were great stalwarts for this club.
"It just proves the difference between the two sets of fans."