5. Add enough avocado oil to a small skillet to cover the hash brown patty halfway. Heat over medium heat. Place the hash brown patty into the hot oil and fry until golden brown (2-3 minutes). Flip over and fry the other side. Gently moving the skillet back and forth on the burner to help slosh hot oil over the sides and top of the hash brown. This will help crisp it up further. Remove from the skillet and place on a paper towel lined plate to absorb excess oil. Serve immediately.