Season the chicken breast evenly on both sides with sea salt, black pepper, and dried oregano.
Heat the olive oil in a large skillet over medium-high heat until shimmering.
Add the chicken to the skillet and sear for 5-6 minutes per side until golden brown and cooked through, then transfer to a plate and cover with foil.
Reduce the heat to medium and add the minced garlic and sun-dried tomatoes to the same skillet, sautéing for 1 minute until fragrant.
Pour in the coconut milk, chicken broth, and nutritional yeast, whisking to combine and scraping up any browned bits from the bottom of the pan.
Simmer the sauce for 3-4 minutes until it begins to thicken slightly.
Add the baby spinach to the skillet and stir until it is just wilted into the sauce.
Add the zucchini noodles and the cooked chicken back into the skillet, tossing gently for 1-2 minutes until everything is well coated and heated through.