Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Peel the sweet potato and cut it into 1/2-inch cubes; chop the broccoli into bite-sized florets.
Dice the chicken breast into 1-inch pieces, ensuring they are uniform in size for even cooking.
In a small bowl, whisk together the olive oil, honey, minced garlic, apple cider vinegar, smoked paprika, sea salt, and black pepper.
Place the chicken, sweet potatoes, and broccoli on the prepared baking sheet and pour the honey-garlic glaze over the top.
Toss everything thoroughly with your hands or tongs until well-coated, then spread into a single layer.
Roast for 20-25 minutes, tossing halfway through, until the chicken is cooked through and the sweet potatoes are tender and caramelized.