The Green President is the Head of State of the 
Green faction.
Appearing only in Army Men: Air Tactics, not much is known about him, except for the fact that he is the president of the Green Nation. It is possible that he might live in Greentown the capital of the Green Nation. Captain Blade rescues him from a Tan assault team hunting him down in the mountains. He is represented by a unit that appears identical to a regular Green Soldier.