Raker Qarrigat
You might be referring to a post-Emerald Twilight storyline involving Raker Qarrigat:
One of the lone sources of light on Darkseid’s horrifying homeworld, Qarrigat lead a few unsuccessful rebellions against the tyrant. He’s kind of a Sisyphusian character, pushing against a force that will never move, but he’s got a rest for a while now that the Fourth World is MIA....
The very idea of the Green Lantern of Apokolips is the kind of shared universe crossover that only really happens in super-hero comics, and thanks to creator Walt Simonson, it’s one of the best. Even better is the idea that, thanks to “Emerald Twilight,” Raker had to seal his ring in a time bubble, relying on it only in case of emergencies lest his final 24 hour charge run out and leave him powerless to battle Jack Kirby’s ultimate evil!
(Source)
The relevant issue seems to be Green Lantern 80-Page Giant Vol. 1 #3: A Lantern Against the Dark (August 2000).