Heat a large saute pan over medium-high heat. Place salami in heated pan. Drizzle salami with olive oil, and cook, stirring. The salami will give off steam in about 5 minutes while it releases its moisture. When the hiss of steam turns to a sizzle, turn the heat down to medium and cook, stirring occasionally, until the salami bits are crisp, about 15 to 20 minutes.
Using a slotted spoon, transfer the bits to several thicknesses of paper towel to drain. The bits will crisp even more as they cool. Use immediately or freeze the bits for up to 6 months and warm in a skillet, as needed.