Preheat your oven to 400°F (200°C) and line a sheet pan with parchment paper for easy cleanup.
Pat the chicken breast dry with a paper towel and season both sides with sea salt, black pepper, and dried oregano.
In a small bowl, whisk together the extra virgin olive oil, lemon juice, lemon zest, and minced garlic.
Slice the zucchini into half-moons or use a vegetable peeler to create thick ribbons.
Place the chicken on the prepared sheet pan and drizzle with half of the lemon-garlic oil mixture.
Roast the chicken for 12 minutes, then remove the pan from the oven.
Add the zucchini to the pan, drizzle with the remaining oil mixture, and toss to coat.
Return the pan to the oven and roast for an additional 8 to 10 minutes, or until the chicken reaches an internal temperature of 165°F and the zucchini is tender.
Let the chicken rest for 5 minutes before slicing and serving alongside the roasted zucchini.