Boil a large, salted pot of water for the pasta.
Meanwhile, prep your chicken, zucchini, tomato, and red pepper.
Add the oil and butter to a skillet over medium-high heat. Once the pan is hot, add the chicken. Cook for 4-5 minutes, stirring occasionally. Take the chicken out of the pan and set it aside.
Add the garlic, Italian seasoning, zucchini, tomato, red pepper, and peas to the pan. Cook for 2 minutes.
Reduce the heat to medium. Stir in the cream and add the chicken back in. Cook for a few more minutes, until the chicken is cooked through and the veggies are further softened.
Season with salt & pepper as needed and toss with the drained pasta. Serve with freshly grated parmesan cheese if desired.