Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Halve the baby potatoes and toss them in a bowl with 0.5 tbsp of olive oil and a pinch of sea salt.
Spread the potatoes on the baking sheet and roast for 15 minutes.
While potatoes roast, whisk together the remaining 0.5 tbsp olive oil, lemon juice, lemon zest, oregano, thyme, garlic powder, salt, and pepper in a small bowl.
Pat the chicken breast dry and coat it thoroughly with the lemon-herb marinade.
Move the potatoes to one side of the pan and place the chicken breast on the other side.
Return the pan to the oven and roast for another 20-25 minutes, or until the chicken reaches an internal temperature of 165°F.
While the chicken and potatoes finish, steam the broccoli florets for 5-6 minutes until they are bright green and tender-crisp.
Plate the chicken and potatoes, serving the steamed broccoli on the side with an extra squeeze of fresh lemon if desired.