220 V AC VS 120 V AC Relay

What makes you say it is AC current that activates the relay?
I think you will find it is a 12V or 24V DC signal that operates it.

As long as you are not putting more than 10A through the relay it will work fine switching 220VAC or 120VAC.
It is an electomechanical relay. You might want to look at optoisolated solid state devices.