Bring a pot of water to a boil. Add carrots; cook until just tender, 3 to 4 minutes. Drain carrots; pat dry with paper towels.
Melt butter in a large skillet set over medium-low heat. Add the carrots, honey, and ginger, and cook, turning carrots frequently, until carrots and ginger are browned, about 8 minutes. Add the chili pepper, and continue to cook until chile is softened, about 1 minute more. Remove from heat, and serve.