Season chicken with salt, pepper, and Italian seasoning. Heat 1 tbsp oil in a large skillet over medium-high heat.
Cook chicken 5–7 minutes until browned and cooked through; remove and set aside.
Add remaining oil to skillet, sauté garlic 30 seconds, then add bell pepper and tomatoes; cook 2–3 minutes.
Stir in zucchini noodles and peas; toss for 2–3 minutes until noodles soften but not soggy.
Return chicken to skillet, add chicken broth and Parmesan, toss to combine and heat through. Adjust seasoning.
Serve topped with basil if using.