01 - Bring a large pot of generously salted water to a rolling boil. Add the pasta and cook according to package directions until al dente. Reserve ½ cup of the starchy pasta water before draining. Set the drained pasta aside.
02 - While the pasta cooks, pat the chicken breasts dry and season both sides generously with salt, freshly ground black pepper, and Italian seasoning. Heat the olive oil in a large skillet over medium-high heat until shimmering. Sear the chicken breasts for 5 to 6 minutes per side until deeply golden brown and cooked through to an internal temperature of 165°F. Transfer to a plate and let rest for 5 minutes before slicing into thin strips.
03 - Reduce the heat under the same skillet to medium. Melt the butter, then add the minced garlic. Sauté, stirring constantly, until fragrant and lightly golden, about 1 minute, being careful not to let it brown.
04 - Add the drained and sliced sun-dried tomatoes to the skillet. Cook, stirring occasionally, for 1 minute to allow the tomatoes to soften and release their oils into the butter.
05 - Pour in the chicken broth and bring to a gentle simmer, using a wooden spoon to scrape up any fond caramelized on the bottom of the skillet. Let the broth reduce slightly for about 2 minutes.
06 - Stir in the heavy cream and grated Parmesan cheese. Simmer gently for 2 to 3 minutes, stirring frequently, until the sauce thickens enough to coat the back of a spoon. Add the crushed red pepper flakes if desired. Taste and adjust seasoning with salt and pepper as needed.
07 - Return the sliced chicken to the skillet along with the cooked pasta. Toss everything together until the pasta and chicken are evenly coated in the creamy sauce. If the sauce is too thick, loosen it with a splash of the reserved pasta water. Serve immediately, garnished with fresh basil and additional Parmesan cheese.