Preheat your oven to 400°F and line a baking sheet with parchment paper.
Slice the zucchini into half-inch rounds and toss with half of the olive oil, a pinch of salt, and a pinch of pepper.
Spread the zucchini on the baking sheet and roast for 15-20 minutes until tender and slightly browned.
Season the chicken breast with the remaining salt, pepper, and dried oregano.
Heat the remaining olive oil in a skillet over medium-high heat and sear the chicken for 5-7 minutes per side until fully cooked.
Remove the chicken from the pan and set aside; lower the heat to medium.
Add the minced garlic to the skillet and sauté for 1 minute until fragrant.
Whisk in the coconut milk and chicken broth, scraping up any browned bits from the bottom of the pan.
Simmer the sauce for 3-5 minutes until it thickens slightly, then return the chicken to the pan to coat.
Serve the chicken topped with the creamy sauce and fresh parsley alongside the roasted zucchini.