Preheat your oven to 400°F and line a large baking sheet with parchment paper for easy cleanup.
Slice the zucchini into half-inch thick rounds and finely mince the garlic clove.
In a small bowl, whisk together the olive oil, lemon juice, minced garlic, dried oregano, sea salt, and black pepper.
Place the chicken breast and zucchini rounds on the prepared baking sheet, then drizzle the herb oil mixture over everything, tossing to coat evenly.
Arrange the chicken in the center and spread the zucchini in a single layer around it to ensure even roasting.
Bake for 20-25 minutes until the chicken reaches an internal temperature of 165°F and the zucchini is tender and lightly browned.
Remove from the oven, sprinkle with crumbled feta cheese while warm, and serve immediately.