If someone is angry at me, should we talk it out at that moment or wait until they are not angry anymore?

It'll depend on how willing they are to listen to you at the moment and how likely you are to get angry or too emotional back at them. If there's a chance they would hear you out, or if you could remain calm, show you get their point of view, and then say your side of the story, talking it out could be helpful. Otherwise, there's nothing wrong with waiting when everyone has cooled off and more rational.

I usually try to inquire and listen now, but wait to speak until after they've expressed interest to hear. This can take more or less time dependent on the situation. The key then, since I have needs for sharing also, is to get together with someone whom I can share with now, in confidence. Then I don't "stuff" or "bottle" in any resentment I may feel, but can reflect and ultimately regain adequate emotional stasis to continue functioning progressively.

We react to the stimuli around us, people run, so we run in similar direction without even knowing the nature of thing or situation we are running away from. Seeing someone sad makes us sad and seeing someone angry makes us angry. Hence when someone is angry is at us, we also become somewhat heated despite our best efforts. The person fuming with negative emotion, will react to the negative stimuli (you) and will become more angry. Talking will distract us and some anger will leak through our mouth. It's best to remain calm and look in the eyes of angry person with calm and understanding. It will require the least bit of concentration and will be effective as that person view is clouded and will see understanding through eyes and other emotions which are not even there in his want to see. Thus it will calm him down and will listen to you with more attention than he would to anyone since you are the one who approached him and tried to understand him.

Depending on the situation, try and understand and put yourself in the person's shoes. It's important to talk it out at that moment if the response is in a calm and controlled manner that will not fuel his/her aggression and rage. Sometimes, tempers can overflow and silent time will help the person soothe and recollect his/her thoughts.

Entirely depends on the circumstances: the person, how angry they are, what they are angry about, your emotional state, etc. Sometimes talking it out in the moment will work, sometimes it will just provoke the person further and a productive solution cannot be reached while they are in that state of mind. In general, it can be a safer choice to wait until both parties have cooled down, but you will need to read the situation and determine it for yourself.

Ofcourse wait until they are not angry anymore because people stay stuff in the heat of the moment and then regret.. If the person you are talking to is angry eventually you'll get angry too.. So yeah..

It depends on the situation, I guess, and your relationship with the person. But, usually, in general, waiting it out, is helpful. People listen better.

If they are someone that won't listen right then and there when they are angry, it's best to wait when there is a better time to talk it out. Otherwise, the sooner the better. You may never know what the reasonings may have been.

wait until both are not angry anymore. When you are angry you can say stupid things, you might regret. Peace is everything.

Well, it really depends on the moment and the person involved. Sometimes, we can't afford to wait for the other person to cool down. Some people are more conducive to runaway emotions than other. Of course, it's probably preferable to discuss emotionally charged matters in as calm and rational a state as possible.