Preheat your oven to 400°F 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 dice the chicken breast into similar bite-sized pieces.
In a small mixing bowl, whisk together the olive oil, honey, coconut aminos, minced garlic, sea salt, black pepper, and smoked paprika until well combined.
Place the chicken pieces, sweet potato cubes, and broccoli florets onto the prepared sheet pan.
Pour the honey-garlic mixture over the ingredients and toss thoroughly with your hands or tongs to ensure every piece is evenly coated.
Spread the mixture into a single layer, ensuring there is enough space between the items so they roast rather than steam.
Roast in the center of the oven for 20 to 25 minutes, tossing the ingredients halfway through, until the chicken is cooked through and the sweet potatoes are fork-tender.