Vice President Mike Pence, fresh from a conference call with nearly all of the nation’s governors, spoke this week about how much those governors appreciated President Trump’s leadership in the midst of the coronavirus outbreak.

“The president’s leadership has made the difference here,” Mr. Pence said at a White House news conference on Monday. “I heard it again today from 47 governors.”

The governors, who find themselves grappling with an escalating national health crisis, have begun raising their own voices in a mix of frustration, gratitude, alarm and pleas for assistance.

The usual partisan stances have been scrambled. Mr. Trump has won praise, particularly from Republican governors, but other members of his party have criticized him for confusing messages and a sluggish response from the Centers for Disease Control and Prevention. At the same time, some Democrats who are usually critics of the president have praised the federal government and urged a spirit of cooperation, even those Mr. Trump has verbally pummeled.