In a large skillet, heat 1/2 tablespoon of olive oil over medium-high heat; add squash and sauté until soft and edges are clear; transfer to dinner bowls or plates.
Heat remaining oil in the skillet; add garlic and chicken and sauté until chicken is cooked through.
Add tomatoes, oregano and basil; simmer until hot.
Serve sauce over squash ribbons and sprinkle with Parmesan cheese.
*Slice squash into thin ribbons using a vegetable peeler for the perfect thickness!