Michael Ratney has "impressed" John Kerry, the secretary of State said.
The program has faced criticism for fielding too few forces and building up at such a slow pace.
The Pentagon said Muhsin al-Fadhli was killed in a strike on July 8.
Israeli commandos killed the general at his seaside villa.
Ashton Carter revealed that the Pentagon is only training 60 Syrian rebels to fight ISIS.
Pentagon officials defended the program despite low turnout.
Friday's estimate was the first time a military official has offered a casualty count.
They called the 700 refugees let into the U.S. in five years "an unacceptably low number."
Defense Secretary Ash Carter said he expects the program to grow in the coming weeks.
A top U.S. general said the strikes against the terror group in Iraq were making an impact.
A snapshot of Monday’s Federal Register.
Canada's vote comes as Congress is stalled on efforts to authorize force.
Establishing the zones could draw the U.S. into a war with Syria.
Rep. Michael McCaul (R-Texas) wants to dramatically ramp up the fight against ISIS.
The bill from the 2016 contender would expedite weapon transfers to Jordan.
"It’s important for them to be a part of that conversation," Obama said.
The number is far lower than what Defense officials say they hoped for.
The goal is frustrating some lawmakers who say the campaign is progressing too slowly.
The move could bring U.S. forces closer to war with Syria.
The United States needs to decide how it's going to protect Syrian rebels it is training before...
About 400 are ready for training.
Any speculation to the contrary is inaccurate, the Pentagon said.
The strike was conducted by two Canadian CF-18 Hornets against an ISIS garrison.
Syria's state-run news agency says the Syrian military shot down the U.S. drone.