Preheat oven to 425°F (220°C).
In a large bowl, toss the carrot chunks with olive oil, salt, and pepper. Spread them evenly on a baking sheet lined with parchment paper.
Roast the carrots for 20 minutes, or until fork-tender.
While the carrots are roasting, melt butter in a saucepan over medium-low heat. Stir in honey and cayenne pepper, cooking for a few minutes.
Transfer the roasted carrots to the saucepan and stir to coat them evenly in the honey butter mixture.
Garnish with fresh thyme or parsley. Adjust seasoning with additional salt and pepper if needed. Serve warm.