Peel the sweet potato and dice into uniform 1/2-inch cubes to ensure even cooking.
Season both sides of the chicken breast with half of the sea salt, black pepper, garlic powder, and dried oregano.
Heat the extra virgin olive oil in a large cast-iron or stainless steel skillet over medium-high heat.
Add the sweet potato cubes to the skillet and sauté for 8 to 10 minutes, stirring occasionally, until they are tender and develop a golden-brown caramelized exterior.
Push the sweet potatoes to the outer edges of the pan and place the chicken breast in the center.
Sear the chicken for 6 to 7 minutes per side until the exterior is golden and the internal temperature reaches 165°F.
While the chicken and potatoes finish, steam the broccoli florets in a separate pot for 4 to 5 minutes until they are vibrant green and crisp-tender.
Remove from heat and plate the chicken alongside the sweet potatoes and broccoli, seasoning the vegetables with the remaining salt and pepper.