01 - Bring a large pot of salted water to a boil. Cook pasta until al dente according to package directions. Reserve 1/2 cup pasta water, then drain and set aside.
02 - Season chicken pieces evenly with salt and black pepper.
03 - Heat 2 tablespoons olive oil in a large skillet over medium-high heat. Add chicken and cook for 5 to 6 minutes, stirring occasionally, until golden and cooked through. Remove from skillet and set aside.
04 - Reduce heat to medium and add remaining 1 tablespoon olive oil to the skillet. Sauté minced garlic and red pepper flakes until fragrant, about 1 to 2 minutes, without browning.
05 - Pour in chicken broth and bring to a gentle simmer, scraping up any browned bits from the pan.
06 - Return chicken to the skillet. Add cooked pasta, Parmesan cheese, and parsley. Toss thoroughly, adding reserved pasta water gradually until the sauce is silky. Adjust seasoning to taste. Stir in lemon juice if desired and serve immediately garnished with extra Parmesan and parsley.