Heat olive oil in a large skillet over medium heat. Add the chicken pieces and season with salt, pepper, and Italian seasoning. Cook until the chicken is golden brown and cooked through, about 5-7 minutes. Remove the chicken from the skillet and set aside.
In the same skillet, add minced garlic and sauté for about 1 minute until fragrant.
Pour in the heavy cream and bring to a simmer. Reduce heat to low and stir in the grated Parmesan cheese until melted and smooth.
Add the spiralized zucchini noodles to the skillet and toss to coat them in the Alfredo sauce. Cook for an additional 2-3 minutes until the noodles are tender but still slightly crisp.
Return the cooked chicken to the skillet and mix well to combine. Adjust seasoning with more salt and pepper if needed.
Serve immediately, garnished with fresh parsley.