Add enough vegetable oil to fill a pot about three inches deep. If you use a smaller pot, you will need less oil. Heat oil until 350 degrees. Cut Mozzarella into large sticks, about 2 inches by 3/4 to 1 inch.
If your cheese is rounded you will need to trip off the rounded edges, you can place these trimmings into a salad. I like to use thicker sticks for this. Set up a breading station consisting of 1 bowl of milk, one bowl of seasoned flour, and one bowl of Panko Bread Crumbs.
In a small bowl add flour, black pepper, and garlic salt. Stir to combine seasoned flour. Dip sticks into milk, then seasoned flour, coating well. Shake off excess. Place the cheese stick on a rack. Allow cheese stick to rest about 5 minutes before dipping into the milk again, and then dip into Panko breadcrumbs. Coat well. Allow cheese stick to rest for a few minutes before cooking. This time of resting helps the coating glue onto the food. Fry cheese stick in hot oil. Fry until just golden brown. Remove from hot oil and drain on a wire rack. Serve immediately.
Sometimes panko breadcrumbs aren't very uniform coming out of the package. You can place your panko crumbs into a plastic bag and gently roll a rolling pin over them to make them more uniform. The Panko crumbs will coat the cheese better this way.