Pour the vegetable oil into a wide, non-stick skillet over medium heat. Test the oil by adding small pieces of garlic at a time until small bubbles form.
Add the remaining garlic to the skillet. Stir constantly and fry until the garlic turns a pale golden color, about 3 to 5 minutes. Do not let it brown too much to avoid bitterness.
Quickly transfer the garlic and oil into a fine strainer set over a bowl to drain excess oil. Spread the drained garlic on paper towels and lightly season with fine sea salt.