In a small bowl, combine the flour, salt, pepper, and garlic powder. In a second bowl, beat the eggs. Place the panko in a third small bowl.
Working with one piece at a time, dip the cheese into the flour mixture and turn to coat. Shake off any excess, then dip it into the egg, letting the excess drip off. Then dip it into the panko, gently pressing to adhere, until coated. Arrange the cheese on the prepared sheet. Place in the freezer for 30 minutes.
Attach a deep-fry thermometer to the side of a large, heavy pot. Add the vegetable oil to the pot over medium-high heat. Once the oil reaches 375°F, working in small batches, carefully add the cheese to the hot oil, and cook until golden brown, turning as needed, about 3 minutes. Transfer the cheese to a paper-towel-lined plate. Repeat with the remaining cheese.