Can square dance music player connect to wireless microphone?

Yes, you can. Be aware of 1 problem: the power supply used for square dancing, it is better to be the same as your wireless microphone. There are some square dance power is AC-220V mains, this is very good. Some others use DC-12V battery, then your wireless microphone receiver, it is best to use DC-12V power supply. Otherwise you have to add an inverter (which is to turn DC-12V into AC-220V).