Do not pump the brakes. Just hold the brake pedal down firmly and let antilock work. A slight brake pedal pulsation might be felt or some noise noticed, but this is normal.
Antilock Brake System (ABS)
Braking in EmergenciesChevrolet Cobalt Service & Repair Manual. Wheel Hub & Bearing, Replace
Rear
Disc Brakes
1.
Raise and support vehicle, then the
tire and wheel assembly.
2.
Without disconnecting the hydraulic
brake flex hose, remove and support rear brake caliper and bracket
as an assembly.
...