How do you manage team dynamics in League of legends?

When I coach multiple people/ an entire team I really prefer seeing the team roles first: who is the loud one, the silent one, the shot caller and the one who likes to fight/ engage. By assigning roles and officializing a specific person as their team’s shot caller there is a sense of order created, since people know to listen to that person first and foremost.

Of course, the shot caller is usually the most advanced player in that team, but that doesn’t mean he can’t listen the advice of team members who specialize in a specific domain.

If anyone has a problem that arises during the game, I make sure to let them know a very important rule: "we can talk about it later". This way they can apply the same method I use: if anyone thinks they're in the right or wrong, watch that problematic portion of the game again and analyze it, argue on it, and see perspectives and solutions.

I think it's impossible to answer this question within a 1000 characters mark. Team Coaching is a topic far more advanced. Specifically when we are looking at semi-professional and/or college/academy teams. It usually involves team's manager, captain and often times either a second person that helps me with data and planning out the session or their backup.
Building a successful team start with picking right players, usually individuals that do not need 20+ hours of individual coaching with them as that undercuts both budget, and the given time. Besides the league and the game knowledge itself, there are many aspects such as communication, discipline and the willingness to improve that come together at the high level competition that must be in place. Otherwise the team is shattered.

I have provided team coaching before for the prime league in EU.
One of the aspect about communication that I learnt from my coaching experience for the competitive scene would be understanding the usage for words while communicating.

There are a lot of ways to communicate with the team. Body language, pings, atitude, usage of words (and more) all affects the message and how it's received.

The techniques I used to help my team to improve on these aspect are putting focus on the content on what the team is usually talking about and figuring the suitable role for each player (hyper-carry, combo-starter, follow-up, power farming, etc.). With that settled, each player then can just focus on their task and only give out suggestions and callouts in the area that they are good at.

Team dynamics are mainly influenced by establishing a good realtion with each other (especially outside of league as well!). I typically let teams play other games than league and organize various events as getting to really know each other is the key to great dynamics within a team.

Knowing how to play of each other is based on how well does everyone know each other's personality, specific charasteristics and specific moments, ... and these things you learn by engaging in genuine fun events and not just in a forced/fixed environment like the ranked queue in league.

Once everybody connects with one another, now is the time time to find that connection with each other on the rift as well, this can be stilmulated by drills, certain tasks, ... .

I've only coached two teams, for a total of about 1 year. One high-school team, and one international. Coaching a team is interesting, but usually very difficult, because not only do you have to positionally improve each player, but also holistically improve the coordination and often communication of a set of players, who've often brought bad habits in from solo-queue, whether it be ego, frustration, or just individualistic gameplay.

The most important aspect to working with a team, to me, is getting them on the same page in terms of comms, and get each player empathizing with the decisions and situations of other players on the team and their roles. Secondarily, helping the team to get into a growth mindset.

To improve team dynamics and effective communication, the team needs a shotcaller. Usually, in professional teams, shotcallers are junglers and supports because they have more time to look at map and they can roam a lot. Of course, it's not a golden rule. In some teams, shotcallers could be ADCs, Toplaners, or Midlaners but they have more tasks in a game like DMG dealing or proper positioning. Also, the best shotcaller is someone who has the biggest experience in the game and is decisive as a person.

Players in a team should also communicate timers and play around objectives or summoner spells cooldowns. Every decision, like engaging or taking an objective should be communicated at least 10 seconds before.

My team management comes out of making 3 comps no matter what. Depending on the ability of the team the type of the comp can vary on pick, front to back, split and so on. The focus of my program is to make it so that at the end your team is able to pick a comp and reliably win with it. Sometimes coaches forget that counterpicking is not good if your comp and your players are not used to play those champs! Also asides from that I offer replay watching along with all the team helping them to syncronize better their plays and their gameplay.

I don't really do Team Coaching I've only done it a few times but it's not really my thing? but if you're talking about teaching the Player himself how to collaborate with His team mates then it's pretty simple. normal pinging < not spamming > & lobby chatting usually helps the game get easier because it creates a better environment for Non-tilting players. 55% chance of winning is better than 50%. so yeah. having a chill team mate usually increases that 50% chance of winning to at least 55-60%.

Pinging is a big part of playing better. The game has no voice chat so pings are our way of talking to each other. Learn to ping and to be assertive without being scared of the outcome.

Don't always follow your team thinking that's the same as helping. You can help them more by doing other things that relieves pressure from them. Try to make the game easy for your team, not better for you only.