WASHINGTON — A longtime friend of President Trump’s who met with him this weekend in Florida issued a public rebuke of the president’s chief of staff on Sunday, blaming him for the botched rollout of Mr. Trump’s targeted travel ban and saying the early chaos in the White House may not ease until he departs.

The friend, Christopher Ruddy, the chief executive of Newsmax Media, said in an interview that Reince Priebus was well meaning and well liked. But he said Mr. Priebus was in over his head, and he hinted that Mr. Trump may already be growing weary of the man he chose to run the White House.

“He doesn’t waste a lot of time,” Mr. Ruddy said of the president. “If he thinks somebody is not performing, he moves pretty quickly.”

The remarks by Mr. Ruddy, made in one of several interviews he gave to news outlets on Sunday, underscored the tensions inside the West Wing as members of the president’s senior staff jockey for power and influence.