Cook the pasta until it's just al dente. It should still have almost a little crunch to it, this is because we are going to finish cooking it in the sauce and you don't want overcooked, gummy pasta.
Searing the chicken to perfection ensures that you get those delicious crispy brown bits in the bottom of the pan to start building flavor in our sauce. Make sure the pan has been heating with the olive oil in it and season the chicken before you sear it and allow it to get golden brown on one side before flipping.
Be sure to reduce your heat of your pan to medium or a simmer when adding the heavy cream, you don't want it to curdle!
Use freshly grated parmesan for this, the pre shredded and pre grated stuff has anti-caking agents in it which will not allow it to melt down nicely for an ultra smooth sauce.