Place chicken breast in a medium saucepan and add water to just about cover the breasts.
Season with salt and pepper and bring to a boil over medium-high heat. Cook chicken breasts for 20-25 minutes.
While your chicken is boiling, put another pot of water onto boil for the pasta and cook it al dente according to package directions.
Once chicken is done boiling, remove chicken breasts from water and place into a bowl. Shred chicken with a hand mixer or forks. Set aside.
When the pasta is about 10 minutes away from being done, add your butter to a nonstick skillet over medium heat. Once it melts, sprinkle in your flour and let cook for about 1 minute, stirring often.
Add in your minced garlic, tomato paste and chicken broth. Stir and let simmer for about one minute.
Whisk in heavy cream, sun-dried tomatoes, oregano and shredded chicken and cook it for a few minutes for the sauce to thicken.
Stir in parmesan and remove the skillet from the heat. Season generously with salt & pepper.
Combine drained pasta and sauce mixture in a bowl, top with more parmesan and serve immediately.