The exchange happened after a judge reversed a White House media ban, according to the report. A reporter asked Trump whether he wanted only outlets that "support" him included in White House press access. He shot back with the "quiet" remark.
In the same set of comments, Trump separately dismissed the idea that women govern better than men, calling it "ridiculous." The 80-year-old president made both remarks in the same outdoor exchange with reporters before his trip.
The moment adds to a running pattern of friction between Trump and the press corps, playing out just after a court sided against the White House on media access. It also puts a spotlight on how Trump responds to female reporters specifically, given he directed the "quiet" comment at a woman covering the story and followed it with a broader comment dismissing women's governing ability.
His exchange with reporters may end up the more talked-about part of the day.