In a heavy based pot heat vegetable oil over medium heat to 375 degrees F.
Using a mandoline, or sharp knife, finely slice plantains into chips (for a fancier presentation slice them lengthwise into ribbons). Fry the plantains in small batches until crisp and golden, about 5 to 7 minutes. Using a slotted spoon, transfer to a plate lined with paper towel. Season with salt immediately.