I think anger is a perfectly healthy, natural, even rational response when we feel frustrated, attacked, threatened, or powerless. It is how you deal with anger that is the real issue.
Even if you are someone who blows their top and acts out when angry, there is hope for you. It takes practice but it's about paying attention to your body's reaction to what is happening. Even if you don't realize you are getting angry, your body will give you some clues: tension, a muscles tightening, uneasy feeling in the pit of your stomach, breaking out in a sweat, heart pounding, and shallow breathing etc. You could even a headache. Most likely, all of these things will happen without you noticing anything more than being irritated.
This is a good time to call time out and walk away from the situation, take a breath and just let your body and senses get back to normal. Depending on how amped up you are, and what you are doing, you could even just let it go all together if it isn't something important or if you are at peace with yourself enough to not have to get in the last word or "win." It's not easy and takes time and work however.
Sometimes though you must have difficult conversations with people around delicate matters. For instance the care of a family member.maybe one wants to put them in a facility and one wants to take care of the family member at home. Both have their reasons and they cannot avoid this subject all together if they are the only remaining family. Paying attention to those physical cues would be valuable in a discussion like that. One could ask to take a break and come back to it rather than blow their top by catching it early.