Preheat oven to 400 F. Lightly grease a baking pan. Option: cover the baking pan with foil before greasing for easier clean up.
Mix the flour, basil, salt and pepper in one bowl. Crack and beat an egg in a second bowl. Mix together the coconut and bread crumbs in a third bowl.
Slice the chicken breasts into strips with approximately even thickness. Lightly coat each strip with the flour mixture, then dunk into the egg, and then coat with the coconut breadcrumbs mixture. Place each coated strip onto the baking sheet.
Bake for 10 minutes. Remove from oven and carefully flip chicken strips. Bake for another 8 minutes until coconut is browned and chicken fully cooked. Cut open a chicken strip at the thickest point. If the middle of the chicken is still pink, put the strips back into the oven for another 3 minutes or until no longer pink.
Store leftovers in the fridge for up to 4 days.