Electric Bicycles are defined by the California Vehicle Code secs. 406 (a) and (b) and 24016 (a) and (b) and if they meet criteria, a person with a suspended license may ride them because these units are not considered "motor vehicles."
In summary, electric bicycles are to be operated like conventional bicycles in California. There are several exceptions: A person must be at least 16 years old, and must wear a bicycle helmet. The e-bikes must have an electric motor that has a power output less than 1,000 watts, can't go faster than 20 miles per hour on level ground, can't further increase its speed by pedaling, operates in a manner so that the electric motor is disengaged when the brakes are applied, or operates in a manner such that the motor is engaged through a switch or mechanism that, when released, will cause the electric motor to disengage or cease to function.