ijjysmith
Calm
If you want a good indication of how the DOF can positively influence the team then look at David Dein at Arsenal. (probably said this a few times now)
He would be going off and getting the players that were identified or Wenger wanted and paid the price they needed to pay to get them in. No suprise that it was the time Arsenal was last competitive in the league title wise. Wenger would umm and ahh over prices and players and dein basically just went and bought them over wenger's head and got him the players.
So essentially, we would have someone there who would get these deals done as it would be their job. If koeman decides a player would be key, the DOF would just go and get them, no messing about like previously here. If the DOF could also scout players like Monchi apparently controls then there is another bonus as it again takes the stress off the manager. Imagine i situation like at sevilla where the manager could tell the DOF what they wanted in the player and the DOF could just go out and buy the best possible player that they want. Need a tackling midfielder, consistent winger, striker who excels at holding the play up, centre half statistically strong in the air, these are the sorts of benefits the DOF can identify and bring.
Dein wasn't a Director of Football at Arsenal though i'm pretty sure.