A clutch operator for a disconnectable clutch useful in a motor vehicle, and having a self-adjusting release bearing supported on a housing and in the form of a rolling-contact bearing designed as an inclined-shoulder bearing. The bearing has an outer bearing ring, a rotating inner bearing ring and rolling bodies guided between the rings. An adjusting ring at the inner bearing ring. A sliding element in a supporting region of the adjusting ring on the inner bearing ring, and being in the form of complementary spherical-cap segments. A noise-reducing and wear-reducing coating, on which a spring element connected to the disconnectable clutch is supported at a radially oriented annular flange of the adjusting ring.