Cook pasta according to package instructions and add broccoli the last 2 minutes of cook time
Drain pasta and broccoli and set aside
In a medium non stick skillet, add olive oil and butter
Once pan is hot add chicken and season
Toss to combine and let chicken cook for 5 minutes or until golden brown on all sides
Remove chicken from the pan and set aside
Add butter to the same pan and once melted add heavy cream
Once heavy cream comes to a simmer add cheese
Stir to combine and allow the sauce to thicken, about 5 minutes
Once sauce begins to thicken, season sauce and stir well to combine
Sauce is done when you can coat the back of a spoon with it and draw a line with your finger
Turn off the heat and add pasta, broccoli and chicken, stirring well to combine
Add more cheese if desired and allow the pasta to sit for 10 minutes to combine with the sauce
Stir well and serve warm