Cook the pasta until al dente. Drain and reserve ½ cup pasta water.
Season the chicken with the spices.
Heat olive oil and cook the chicken until golden and cooked through. Remove from the skillet.
Melt butter and sauté the garlic.
Stir in the flour and cook for 1 minute.
Slowly whisk in the chicken broth and heavy cream.
Add the seasonings and Parmesan cheese. Stir until smooth.
Return the chicken to the skillet.
Add the cooked pasta and toss to coat.
Add reserved pasta water if needed.
Garnish with parsley and extra Parmesan before serving.