Dr. Fauci was speaking at Georgetown University as part of a forum on pandemic preparedness. He says, as it shows in the video, and was reported on Healio (archived link), that the current presidential campaign would be faced with some heavy challenges.
As stated on the Healio article, "Fauci said the Trump administration will not only be challenged by ongoing global health threats such as influenza and HIV, but also a surprise disease outbreak.
“The history of the last 32 years that I have been the director of the NIAID will tell the next administration that there is no doubt they will be faced with the challenges their predecessors were faced with,” he said."
Dr. Fauci's exact words are in the video itself.
He's now being criticized as being part of an alleged "deep state" by some users on social media. Of course the conspiracies will go wild, as they always do. However, this might have also been Dr. Fauci being aware of the history/statistics of outbreaks and thinking that something was likely to happen in the next four or eight years.
It does remain unclear if Fauci thought, or knew, the outbreak would be this bad and travel across the world.
When it comes to technicalities, would it have counted if, for example, one city had an outbreak of something?