Trim most of the fat from the edges of the tenderloin. Blend the flour, salt, and pepper together on a piece of wax paper. Dredge each slice of pork in the seasoned flour. Shake to remove any excess flour and place on another piece of wax paper.
Heat the oil in a 10-inch skillet. When the oil is hot, place the pork pieces in a single layer in the skillet. Brown quickly on each side, lower heat, and let the pork cook gently for about 5 minutes, or until cooked through.
Remove and keep warm while you add optional wine and chicken broth to the skillet. Cook down rapidly, scraping up any browned bits, until almost syrupy.
Serve 3 slices tenderloin per serving with a spoonful of pan sauce poured over.