Rinse the peppers under cold water and dry thoroughly. Leave the stems on the peppers.
Pour about 2 cups of olive oil into a 10-inch frying pan and heat on medium. When the oil is hot, place some of the whole peppers into the pan and fry for 2-3 minutes, making sure to cook on both sides. Continue to fry the peppers in batches and drain on paper towels.
Sprinkle fried peppers with coarse salt and serve warm.
