Notice the expression is " to go off on (someone)." You can say, " he went off" or " don't go off" without the " on" if you mean don't get angry, don't start yelling.

注意这个表达是“to go off on (someone). ” 如果你的意思是不要生气，不要开始大喊大叫， 你可以说“he went off” 或“don't go off” 而不带“on” .