Bring 5 quarts of water to a boil. Add 3 tbsp of salt and pasta and stir occassionally. When the pasta is cooked, drain well.
While the pasta is cooking, cut the boneless, skinless chicken breasts into approx 1-2 inches and season with salt and pepper.
Next, cook the chicken in a saucepan coated with vegetable oil over high heat until the outside of the chicken is golden brown. Once the chicken is cooked, remove it and set aside.
In the same saucepan, over medium heat, slowly melt the butter. Whisk in flour. Once it starts to bubble, add in chicken broth and mix thoroughly. Bring it to a high heat and let boil for 2 minutes.
Next, add in heavy cream, milk, salt and pepper. Leave on high until it boils. Once boiling, lower to medium heat for 2 minutes. Then add in broccoli for one one minute. Then slowly whisk in the Parmesan Romano Cheese.
Add the drained pasta and chicken. Mix thoroughly. Then serve!