In a large skillet over high heat, heat 1 tablespoon oil. Working in batches, add steak; season with salt and pepper. Cook, turning occasionally, until browned on all sides, about 8 minutes total.
Green peppercorns are gentler than black peppercorns, which tend to give a spicy edge to peppercorn sauce. If you want a creamer pepper sauce with your steak this is a great recipe to try.