Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper for easy cleanup.
In a shallow dish, whisk together the almond flour, garlic powder, onion powder, dried oregano, sea salt, and black pepper until well combined.
Pat the chicken breast dry with a paper towel, then brush it with half of the olive oil to help the coating adhere.
Dredge the chicken through the almond flour mixture, pressing firmly on both sides to ensure a thick, even crust.
Place the coated chicken on one side of the baking sheet.
On the other side of the sheet, toss the broccoli florets with the remaining olive oil and a pinch of extra salt if desired.
Bake for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the broccoli is tender and lightly charred.