Bring a large pot of salted water to a boil and cook the pasta until al dente according to the package directions. Reserve ½ cup of the pasta water before draining.
Season the chicken with the Italian seasoning, paprika, salt, and black pepper.
Heat the olive oil in a large skillet over medium-high heat.
Add the chicken and cook for 6–8 minutes, stirring occasionally, until golden brown and cooked through. Transfer the chicken to a plate.
In the same skillet, melt the butter and sauté the garlic for 30 seconds until fragrant.
Add the zucchini and cook for 4–5 minutes, stirring occasionally, until crisp-tender.
Pour in the heavy cream and stir well. Add the Parmesan cheese and cook until melted and smooth.
Stir in the reserved pasta water a little at a time until the sauce reaches your desired consistency.
Return the cooked chicken to the skillet, then add the cooked pasta and toss until evenly coated.
Garnish with fresh parsley and serve immediately with extra Parmesan cheese if desired.