Preheat your oven to 400°F (200°C) and line a large rimmed sheet pan with parchment paper for easy cleanup.
Peel the sweet potato and cut it into 1/2-inch cubes, and slice the chicken breast into uniform bite-sized pieces.
In a small mixing bowl, whisk together the honey, olive oil, minced garlic, and coconut aminos until the glaze is smooth.
Place the chicken pieces, sweet potato cubes, and broccoli florets onto the prepared sheet pan.
Drizzle the honey-garlic glaze over the chicken and vegetables, tossing thoroughly with your hands or tongs to ensure every piece is coated.
Sprinkle the sea salt, black pepper, and red pepper flakes evenly across the pan.
Spread the ingredients out into a single layer, ensuring they aren't crowded so they roast rather than steam.
Bake for 20 to 25 minutes, tossing the ingredients halfway through, until the chicken is cooked through and the sweet potatoes are fork-tender and golden.