From A Wiki of Ice and Fire
|Died||In 300 AC, Meereen|
|Book||A Dance with Dragons (mentioned)|
A Storm of Swords
Duran is purchased with the rest of the Unsullied by Daenerys Targaryen and then freed. When Daenerys tells the Unsullied to abolish the practice of choosing a new name every day, Duran goes back to his birth name.