In a large skillet, arrange carrots and garlic in a single layer and cover with water. Season generously with salt. Bring to a boil, then reduce heat and simmer, covered, until tender, about 10 minutes.
Remove carrots and garlic with a slotted spoon and set aside. Drain water and wipe out pan. Heat to medium high. Add oil, honey, chile, rosemary, and 1 tablespoon water and cook until bubbling. Add carrots and garlic and cook, stirring, until coated and slightly caramelized, about 5 minutes. Season with salt.
Change It Up
Substitute thin wedges of sweet potato for the carrots; sprinkle with toasted chopped pecans and grated orange zest.