Preheat your oven to 400°F (200°C) and line a large rimmed sheet pan with parchment paper.
Peel the sweet potato and dice into 1/2-inch cubes, then cut the chicken breast into bite-sized pieces.
In a small mixing bowl, whisk together the honey, tamari, minced garlic, smoked paprika, and olive oil until the glaze is smooth.
Arrange the chicken and sweet potatoes on the prepared sheet pan and drizzle with half of the honey-garlic glaze.
Toss the ingredients to coat thoroughly, season with sea salt and black pepper, and spread them into a single layer.
Roast in the center of the oven for 15 minutes.
Remove the pan, add the broccoli florets, and drizzle with the remaining glaze before tossing gently.
Return the pan to the oven for an additional 10 to 12 minutes until the chicken is cooked through and the potatoes are golden and tender.