Combine first 3 ingredients in a bowl.
Heat oil in a large nonstick skillet over medium-high heat. Flatten each pork piece to 1/2-inch thickness using your fingertips. Add pork to pan; spoon soy sauce mixture evenly over pork slices. Cook 3 minutes or until browned. Turn pork over; cook 3 minutes or until done. Remove from pan.
Add salsa and preserves to pan; increase heat to medium-high. Cook 30 seconds or until slightly thick, stirring constantly. Serve pork with salsa mixture, and sprinkle with cilantro.