Nonvolatile optical switches are promising components for low-power photonic integrated circuits with multiple functionalities. In this study, we experimentally demonstrate magneto-optical switches integrated with a magnet array. Optical switches in both microring and Mach-Zehnder configurations are fabricated on a high-quality single-crystalline magneto-optical material Ce:YIG. The switched state is alternated by a current-induced magnetic field from an integrated electromagnet and remained without any external power supply owing to the nonvolatile magnetization of thin-film magnets. Subsequently, the arbitrary level control of optical transmission is demonstrated by changing the magnetization state of integrated thin-film magnets with a current applied in the microring gate switch, and a maximum switching ratio over 25 dB is achieved in the Mach-Zehnder switch. The latching operation is presented with a 1-µs pulsed voltage.