Fred and Kimberly Kagan had this to say of Petraeus' right-hand man in Iraq:
For all the sophistication of this integrated political-military and kinetic/non-kinetic approach to the conflict, Odierno is likely to be remembered in military history as the man who redefined the operational art of counterinsurgency with a series of offensives in 2007 and 2008.
This is one reason for the praise:
Lieutenant General Raymond Odierno took command of Multi-National Corps-Iraq (MNC-I) on December 14, 2006. Iraq was in flames. Insurgents and death squads were killing 3,000 civilians a month. Coalition forces were sustaining more than 1,200 attacks per week. Operation Together Forward II, the 2006 campaign to clear Baghdad's most violent neighborhoods and hold them with Iraqi Security Forces, had been suspended because violence elsewhere in the capital was rising steeply. Al Qaeda in Iraq (AQI) owned safe havens within and around Baghdad, throughout Anbar, and in Diyala, Salah-ad-Din, and Ninewa provinces. The Iraqi government was completely paralyzed.
When General Odierno relinquished command of MNC-I on February 14, 2008, the civil war was over. Civilian casualties were down 60 percent, as were weekly attacks. AQI had been driven from its safe havens in and around Baghdad and throughout Anbar and Diyala and was attempting to reconstitute for a "last stand" in Mosul--with Coalition and Iraqi forces in pursuit. The Council of Representatives passed laws addressing de-Baathification, amnesty, provincial powers, and setting a date for provincial elections. The situation in Iraq had been utterly transformed.