Mozzarella is a soft cheese that freezes relatively well. However, don’t freeze it in its brine. Drain this and then put the mozzarella in a freezer bag. If you are freezing more than one mozzarella ball, freeze them individually, otherwise, they will stick together. Squeeze out the air from the freezer bag otherwise, freezer burn will occur. Freezer burn will ruin the taste and texture of your mozzarella.