In a large pot of salted boiling water, add the pasta and cook according to package instructions until al dente. Reserve about 1 cup of pasta water before draining the pasta.
While the pasta cooks, heat olive oil in a large skillet over medium-high heat. Season chicken breasts with salt and pepper, then add them to the skillet. Sear for about 5-7 minutes on each side or until golden brown and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add minced garlic and red pepper flakes. Sauté for about 30 seconds until fragrant. Add the cherry tomatoes and cook for another 2-3 minutes until they begin to soften.
Pour in the heavy cream and mix well. Reduce the heat to medium-low and stir in the grated Parmesan cheese and Italian seasoning. Let the sauce simmer until it thickens slightly, about 3-4 minutes.
Slice the cooked chicken and add it back to the skillet along with the drained pasta. Toss everything together, adding reserved pasta water as needed to reach your desired consistency.
Taste and adjust seasoning with salt and pepper if necessary. Serve warm, garnished with fresh basil leaves.