Apparatus and methods for the removing of a spark plug, or portions thereof, from a cylinder head are disclosed. The apparatus includes a lower socket with a longitudinal bore therethrough, a radial compression member disposed in the longitudinal bore of the lower socket, and a shaft disposed on a first end of the radial compression member. The radial compression member includes an internal surface defining a concavity that faces a longitudinal axis of the lower socket. The method includes compressing the radial compression member in a radial direction toward a longitudinal axis of the spark plug terminal, thereby decreasing an outer dimension of the radial compression member in the radial direction.