Preheat your oven to 400°F and line a large baking sheet with parchment paper for easy cleanup.
Peel and chop the carrots, parsnips, and daikon radish into uniform one-inch chunks to ensure even cooking.
On the baking sheet, toss the root vegetables with the duck fat, sea salt, and black pepper until well coated.
Spread the vegetables in a single layer and roast for 15 minutes, stirring once to encourage even browning.
Place the duck leg confit on the baking sheet, skin-side up, nestling it among the partially roasted vegetables.
Roast for another 15 to 20 minutes until the duck skin is golden and shatteringly crisp and the vegetables are tender.
In the final two minutes of roasting, sprinkle the minced garlic and fresh thyme over the vegetables for a fragrant finish.
Remove from the oven and let the duck rest for a few minutes before serving alongside the caramelized root medley.