KABUL, Afghanistan - Al-Qaida's defeat is "within reach," U.S. Defense Secretary Leon Panetta said Saturday during his first visit to Afghanistan as Pentagon chief. 

He said eliminating as few as 10 of the group's top figures could cripple its ability to strike the West.

Panetta's assessment could stoke the debate in Washington over how soon to pull the U.S. military from the land where Osama bin Laden's network launched the attacks of Sept. 11, 2001, against the United States. Some question why a continued military commitment is necessary if al-Qaida's end is in sight, given that it was the reason the U.S. began the war.

Although not as specific as Panetta about what it will take to break al-Qaida, the top American commander in Afghanistan said in a separate interview that he agrees the group is on the ropes.

"There has been enormous damage done to al-Qaida" beyond bin Laden's killing May 2 in Pakistan, Army Gen. David Petraeus said. "That has very significantly disrupted their efforts and it does hold the prospect of a strategic defeat, if you will, a strategic dismantling, of al-Qaida."

Panetta said he hoped his shift from CIA director to defense secretary, combined with a change of U.S. civilian and military leaders in Kabul, will put the troubled U.S.-Afghan relationship "back on the right track."

Mixed with the optimism was a hint of concern about resetting the Obama administration's increasingly rocky relationship with Afghan President Hamid Karzai. He frequently criticizes the U.S. military and is known to offer what American officials see as weak support for his own fledgling army and police.

Panetta pointedly noted that the U.S. feels compelled to deal with "a lot of leaders throughout the world who have problems ... and that's the situation here. We have to respect him as president of his country."

Panetta had dinner with Karzai but they did not hold a joint news conference, as is customary when an American defense secretary visits the capital.