The president trusts "a combination of television and listening to people outside the government" over his advisers, the former adviser said.
A woman infected her downstairs neighbor even though the two never came into close contact. Transmission likely occurred in the elevator.
The agency says its China office found out about the "viral pneumonia" cases from reading an online press release from the Wuhan health commission.
New York is the only other state that has seen more than 10,000 new cases in a day, with its peak passing in April.
"I know I would have done a better job," the former secretary of state told a Hollywood Reporter podcast on Friday.