And he commented that Nato would continue following the strategy put in place by General McChrystal.
Gen Stanley McChrystal will lecture at a new centre for global affairs, Yale University announced.
McChrystal will also have to be attentive to the significant differences between Iraq and Afghanistan.
The Pentagon, however, has said McChrystal has not yet decided whether to ask for more troops.
CNN: August is deadliest month for U.S. military in Afghanistan
Stanley McChrystal, a veteran of the military's secretive special-operations community, will assume overall command in Kabul.
McChrystal, here are more troops, or we disagree, and we need to change the strategy.
That is what Gen McChrystal means when he talks about winning and losing this war.
The "mix" of military personnel needed will likely change in the weeks ahead, McChrystal said.
CNN: Pentagon: 'Major combat' over, but smaller fights remain
McChrystal did not actually say the worst things about the administration, his staff members did.
McChrystal's final act as US commander in Afghanistan was to show us where this leads.
McChrystal and his inner circle are not uncommon for military staffs in war zones.
CENTERFORSECURITYPOLICY: McChrystal remarks sad but not surprising
After McChrystal took command a year ago, he conducted a review of the allied strategy.
McChrystal adds the choice to resign as U.S. commander in Afghanistan was his own.
NATO, the administration hopes, will contribute enough to address the shortfall in McChrystal's request.
Stan McChrystal, whose military career was done in by incendiary comments by his staff to the press.
Stanley McChrystal, a former special operations chief, to take over as the top U.S. commander in Afghanistan.
Stanley McChrystal, the top U.S. commander in Afghanistan, has been assessing the progress of Obama's mission there.
CNN: August is deadliest month for U.S. military in Afghanistan
Stanley McChrystal, to cede remote outposts and consolidate troops in more populated areas to better protect Afghan civilians.
Asked about McChrystal's assessment, Rasmussen said he believed that the training of Afghan security forces should be strengthened.
Gen McChrystal was relieved of his command in Kabul in June and retired from the military in July.
In the summer of 2010, he took over in Afghanistan after the resignation of former Gen Stanley McChrystal.
McChrystal said the goal is to protect population centers to enable the government to improve security and governance.
Kevin Drum, blogging at Mother Jones, advises liberals to approach Gen McChrystal's proposals with an open mind.
McKiernan will remain in place until the Senate confirms the appointments of McChrystal and his designated deputy, Lt.
He is now trying to navigate the business world: he works for a consulting group run by Gen McChrystal.
Gen McChrystal was replaced as head of US and Nato forces in Afghanistan.
BBC: McChrystal cleared of wrongdoing in Rolling Stone piece
McChrystal also failed to get direct support from the man who recommended him for command, Defense Secretary Robert Gates.
WSJ: U.S. Gen. Stanley McChrystal Apologizes for Rolling Stone Profile
Foreign Policy's Peter Feaver suspects the leak come from inside the White House, not from Gen McChrystal's team.
McChrystal and Hurd were inside supposedly trusted organizations, which had to protect themselves.
Stanley McChrystal took over in June as the allied commander in Afghanistan.
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