The Coach leads the tactic training of your team. The more efficient your coach is, the better the training will be.
He also gives a bonus to your team in matches. (Max. bonus per sector is +30%. Max total bonus is 90% with all sector bonuses added together).
The bonus is based on the philosophy of the coach. The coach is the only staff member that follows his own philosophy.
There are 6 different philosophies available for a coach:
Very offensive - gives his full bonus to the three offensive Sectors (up to 30% each).
Offensive - gives 2/3 of his bonus to the offensive sectors and 1/3 to the midfield sectors.
Balanced - gives equal bonus for all sectors (up to 10% each).
Defensive - gives 2/3 of the bonus to the defensive sectors and 1/3 to the midfield sectors.
Very defensive - gives his full bonus on the three defensive sectors.
Dynamic - is a special philosophy that can be unlocked if you own all 5 Wood Snake Monuments. This philosophy is a flexible coaching style that adapts based on the opponent's play style (basically, the Dynamic coach is giving a bonus opposite to your opponents: i.e. your opponent's is offensive, then your dynamic coach will give a bonus for defensive sectors; if both are dynamic, then the bonus given by both will be balanced)