When the Fox News host Laura Ingraham urged Gov. Ron DeSantis of Florida “to step aside and endorse Trump” on Tuesday night, it was the latest sign of a sharp deterioration of relations between the Republican presidential hopeful and the network that made him a star.

Ms. Ingraham’s exhortation, in the wake of Mr. DeSantis’s second-place finish in the Iowa caucuses, was met with mockery and derision by two of the governor’s most prominent aides.

“Why would DeSantis take advice from the opposing campaign?” Christina Pushaw, the campaign’s rapid response director, wrote on X, to which Mr. DeSantis’s spokesman in the governor’s office, Jeremy Redfern, chimed in.

“The Fox News PAC,” he wrote.

It was the latest broadside from Mr. DeSantis’s inner circle against the cable network that until recently had been among the loudest advocates of his candidacy.