I think he meant to say: There are times when we disagree about the facts.
He's answering a question about whether he will promise never to lie — he did promise — and it struck me as telling that he said "we disagree with the facts."
ADDED: Spicer just said "cognizant to," instead of the normal "cognizant of." Maybe he's just weird about prepositions. Weird around prepositions. Weird beneath prepositions.
AND: From the NYT live blog:
Julie Hirschfeld Davis: “Over and over again, there is this attempt to go after this president,” Spicer says. “There’s a rush to judgement every time.” He is back to talking about the King bust flap. This is the White House putting journalists on notice to watch what they report.
Maggie Haberman: This is Spicer channeling Trump pretty purely. Trump genuinely believes he’s been treated unfairly....I'm assuming you know what the "King bust flap" is.
Peter Baker: It also reinforces Trump’s status as a more independent president, going against longstanding Republican orthodoxy from the start.
Maggie Haberman: And Peter, on making this bust mistake prominent, it really is a reminder of how asymmetrical covering this administration will be. Any mistake by the press, no matter how quickly it’s addressed, will be amplified to Trump’s supporters, even as the press secretary makes untrue statements.