You've Heard of Switch Hitters
So, how about a "switch pitcher?" Creighton University in Omaha has a reliever who is the only ambidextrous pitcher in Division I college baseball. His name is Pat Venditte, and he throws with his left hand to left-handed batters, and when a right-handed batter steps to the plate, well, you get the idea.
So far this year, Venditte (who's a middle relief specialist) has a 3.29 earned run average, and yes, he's capable of striking out batters with either hand.