BAGHDAD — An Egyptian leader of the Muslim Brotherhood said Saturday that several of the group’s prominent members had been asked to leave Qatar, in an apparent concession to a campaign by other Persian Gulf monarchies to pressure Qatar away from its support for the group.

“Some symbols of the Muslim Brotherhood and its political wing — the Freedom and Justice Party — who were asked by authorities to move their residence outside the state of Qatar have now honored that request,” the Egyptian, Amr Darrag, a senior Brotherhood leader, said in a statement posted on the group’s website.

A Qatari diplomat contradicted Mr. Darrag, speaking on the condition of anonymity. The diplomat said that the Brotherhood leaders had decided to depart for their own reasons without any request from Qatar, and that they were welcome to return.

“Maybe for some of them, they saw from the media that the country is being pressed and they left of their own free will because they did not want to put the country in an embarrassing situation,” the diplomat said.