Add beat egg whites to a bowl. In a pie dish or plate mix together coconut flour, parmesan cheese, salt and pepper.
Dip the chicken strips first into the egg white and then roll in the coconut flour mixture. Repeat until all of the chicken s trips are coated.
Melt the coconut oil in a deep skillet over medium heat to around 375 degrees Fry the chicken strips in batches until golden brown and fully cooked (the internal temperature has reached 165 degrees F.), 4-6 minutes. Turn the chicken strips halfway through cooking. Drain on a plate lined with paper towels.