Whether it will work with an LM324 depends on the load. If the load is resistive between the output and ground, so that the LM324 doesn't need to sink any current, it should be OK down to 0V output.
Whether it will work with an LM324 depends on the load. If the load is resistive between the output and ground, so that the LM324 doesn't need to sink any current, it should be OK down to 0V output.