Peel the garlic clove and cut into thin slices. Clean the fennel bulb, put the greens aside. Halve the tuber and cut out the hard stalk in a wedge shape. Cut the halves into thin strips. Peel the carrots and cut into thin slices.
Sauté the fennel, carrots and garlic in 3 tablespoons of hot olive oil. Add honey, orange peel and juice. Season with a little salt, pepper and cayenne pepper. Cover and simmer over medium heat for about 8 to 10 minutes. Chop the fennel greens and sprinkle over the vegetables.