Pat the chicken dry with paper towels and season generously with salt and pepper.
Heat olive oil in a large skillet over medium-high heat. Add the chicken and cook, undisturbed until well-browned on al sides and cooked through about 6-8 minutes. Transfer to a plate when done.
In the same skillet, melt the butter over medium heat. Add the garlic and cook until fragrant, (about 30 seconds). Stir in the tomato paste and cook for one minute.
Whisk in the flour until smooth. Gradually whisk in the chicken broth and heavy cream. Bring the mixture to a simmer, then reduce heat and let it thicken for about 5 minutes, stirring occasionally.
Add the Parmesan cheese, chopped rehydrated tomatoes, Italian seasoning, and red pepper flakes. Taste the sauce and adjust seasonings if needed.
Meanwhile, cook the pasta according to the package directions until al dente. Reserve one cup of pasta water before draining.
Return the cooked chicken and any accumulated juices to the sauce. Add the drained pasta and a splash of the reserved pasta water to help the sauce coat everything.
Stir until well combined and heated through. Garnish generously with fresh basil and additional Pamesan cheese before serving.