Combine first 7 ingredients in a large bowl, whisking well to blend.
Heat vegetable oil in a large deep skillet until it reaches 375°F on a kitchen thermometer.
Submerge cheese into batter and let most of it drip off so it’s lightly covered.
Slowly dip all 4 cheese pieces into hot oil to avoid splattering. Fry on one side for 1 minute, then flip and fry for 1 minute on the other side. Transfer to a paper towel–lined baking sheet.