Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
Wash and dice the Yukon Gold potato into small 1/2-inch cubes to ensure they roast quickly and evenly.
Cut the chicken breast into bite-sized pieces, roughly the same size as the potato cubes.
In a large mixing bowl, whisk together the extra virgin olive oil, fresh lemon juice, minced garlic, dried oregano, sea salt, and black pepper.
Add the chicken and potatoes to the bowl and toss thoroughly until every piece is well coated in the herb marinade.
Spread the chicken and potatoes in a single layer on the prepared sheet pan, ensuring they aren't overcrowded so they can crisp up.
Roast in the oven for 15 minutes.
While the chicken roasts, toss the broccoli florets with the lemon zest and a tiny pinch of salt.
Remove the pan from the oven, add the broccoli florets to the pan, and give everything a quick toss to incorporate the flavors.
Return the pan to the oven and roast for an additional 10-12 minutes until the chicken is cooked through and the potatoes are golden brown.