An electrical submersible pump assembly for producing hydrocarbons from a subterranean well includes a motor-seal click connector releasably connecting a motor to a seal section and engaged by relative axial movement between the motor and the seal section, and a pump-seal click connector releasably connecting the pump to the seal section and engaged by relative axial movement between the pump and the seal section. Electrical conductors are located within a sidewall of the motor housing, a sidewall of the seal section housing, and a sidewall of the pump housing. A male motor-seal electrical connector is axially extending and electrically connects the electrical conductors of the motor housing with the electrical conductors of the seal section housing. A male pump-seal electrical connector is axially extending and electrically connects the electrical conductors of the pump housing with the electrical conductors of the seal section housing.