Adela Raz, Karzai's first deputy spokeswomen and director of communications, said the agreement will only be acceptable to the Afghan government and populace as a whole if the Americans promise to no longer raid their homes.
"Making sure that Afghan lives are safe, that's a demand and a request from the Afghan people," she during the delegation's visit to NATO.
Azimi, in a generally upbeat assessment of the Afghan armed forces' current status, said they are now up to strength at 195,000, so the focus has turned to training to heighten their professionalism.
Reconnaissance, intelligence, logistics and engineering are among the areas singled out for improvement, he said.
The Afghans also hope NATO member nations will supply them with more equipment. Until very recently, Azimi said, Afghanistan's air force didn't have a single operating airplane.
"Air defense, armor, tanks these are very much needed for any army when it comes to external security," the general said. "So we have been trying to draw the attention of our donor countries, especially the United States of America, to this specific issue. For example, air defense, and also heavy weapons, and artillery, and armor. We have been trying to convince our international partners to equip us with these weapons."