Heat oil in a large skillet over medium heat.
Add chicken and cook for 5 minutes. Flip chicken.
Flip chicken and cook for 5 minutes.
Toss chicken. Scatter broccoli on top of chicken. Cover and cook; about 5 minutes.
Reduce heat to medium-low. Pour in cream and occasionally stir chicken; about 5 minutes.
Stir in garlic and parmesan. Allow to slightly reduce and thicken; about 5 minutes.
Toss skillet together. Serve with rice.