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

If I were you I would wait a day or two to let the tempers cool down a bit. Try to collect objective arguments to clear up the initial argument you've had. Try to approach the other person in a calm and friendly way, to prepare a good and structured talk.

To me, I would let both of us calm down first, then we will talk and solve the problem. Because when people is angry, he/she may speak something too fast that may hurt people.

Anger is very unctrollable emotion. It is one of the strongest " emotions" we humans can get. If someone is angry at You, and they don't know how to control their anger and calm down, It is good to let them to calm down by themselves for a while, and then talk with them.

Yup, if it is possible try to avoid talking to them until they get cooled down. Or if you cannot avoid the situation , try not arguing with them so as to avoid hurting each other even more

The pros in waiting until they have calmed down to talk to them is that they will receive and consider what you have to say with a more open mind and with more logic. Although the con to that is, if left mad for too long, that somebody could irrationally think or assume of a lot of things to make their anger towards you intensify. The quote 'An idle mind is the devils playground.' can somewhat relate to that. You understand your situation with that person the best, so the last decision is up to you. Consider the pros and cons and i'm sure you will do the right thing.

Give them some space to reflect on everything. When they calmed down you can talk to them and hope that they are not as angry as they were before.

Wait it out, you both need time to think things through. So give it 3 to 4 hours time. No longer because then they will think you don't want to make up and solve the situation

For me, wait for a moment when they are not angry anymore. Let their anger simmer down. If a person is angry it is their emotion who is talking and not their conscious self.

It really depends on the situation and how you both are able to handle yourselves in your anger. Taking time off to cool down can make it difficult to go back and address the issue, but having a clear head can really help to resolve the conflict--there are obviously pros and cons in each situation, and it's really up to both of you to decide how to handle the situation. It's really helpful to remember that there are no "right" or "wrong" decisions in life--just actions and reactions, so whatever you decide to do is no less valid than any other option.

Wait it out. When someone is angry, words are said that weren't meant to be said and feelings are easily hurt. Give the person some space and talk it out calmly when the time is right.