Prep Work
PREHEAT the oven to 400°F (200°C).
WASH and PEEL the carrots. Cut off all but about ½-inch of the greens (if using carrots with tops).
CUT larger carrots lengthwise, so their width is more uniform. If you prefer smaller carrots, cut them into bite-sized quarters. Your goal is to make them equal in size, so they are all done baking simultaneously.
ZEST the orange and then JUICE it. Set the juice and zest aside separately.
Make the Glaze
HEAT a small saucepan over medium-high heat on the stovetop. Melt the butter and turn down the heat to medium-low. Add the soy sauce, brown sugar, orange juice, rosemary, chili powder, and nutmeg to the melted butter.
MIX well and simmer for about 5 minutes, until the sauce begins to thicken. Remove the butter glaze from the heat and let it cool slightly. Pull the rosemary sprig out and discard it.
COAT the carrots with the glaze. Place the carrots and glaze in a zip-top bag. Squeeze the glaze around to coat the carrots. Alternately, use a large mixing bowl to toss the carrots and the glaze. If your carrots are small enough, this is effective. However, you may find a zip-top bag easier to use.
LINE a baking sheet or casserole dish with parchment paper or aluminum foil. Alternately, use a grooved roasting pan if you like to see the roast marks on your carrots.
Bake
PLACE the carrots on the sheet pan in a single layer. Cover the carrots with the leftover brown sugar mixture from the bowl or bag. Generously sprinkle with salt and pepper.
BAKE for 20 to 30 minutes until the carrots begin to brown around the edges. The cooking time depends on the size of the carrots.
While the carrots bake, MIX the reserved carrot leaves (if using), parsley, and orange zest in a small bowl.
REMOVE the carrots from the oven. Top them with the fresh herbs and serve immediately.