Season the chicken pieces lightly with salt, pepper, and half of the Italian seasoning.
Heat the olive oil in a large skillet or pot over medium-high heat. Add the chicken and cook until browned and cooked through, about 5-7 minutes. Remove the chicken and set aside.
Reduce the heat to medium. Add the minced garlic to the skillet and cook for 1 minute until fragrant. Do not let it burn.
Add the chopped sun-dried tomatoes and cook for 1 minute.
Pour in the chicken broth and bring to a simmer. Scrape up any browned bits from the bottom of the pan.
Stir in the heavy cream and the remaining Italian seasoning. Let the mixture heat through but do not boil rapidly.
Stir in the grated Parmesan cheese until the sauce is smooth and slightly thickened.
Add the ramen noodles to the simmering broth. Cook according to package directions, usually 3-4 minutes, until tender.
Return the cooked chicken to the pot. Stir in the fresh spinach until it wilts, about 1 minute.
Taste and adjust seasoning with salt and pepper if needed. Serve immediately, topped with extra Parmesan cheese.