"turn/switch itself off" is better English in my view. "go off" is perfectly intelligible though, and no doubt it is used.
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Gene93Do you ever use go on/off in such contexts? Not necessarily this one."go off", yes. I think I would use "come on" more than "go on".
Gene93That's what I meant (come on). I am sorry. Having said that, I take it is not unusual to hear "Mom, what happened? The TV just went off" or "It is okay. It came (back) on". Yes?Yes.