The Trump administration recently sent a diplomatic note to officials in El Salvador to inquire about releasing a Salvadoran immigrant whom government officials have been ordered by the Supreme Court to help free, according to three people with knowledge of the matter.

But the authoritarian government of Nayib Bukele, the leader of El Salvador, said no, two of the people said. The Bukele administration claimed the man should stay in El Salvador because he is a Salvadoran citizen, according to one of those people.

It remained unclear whether the diplomatic effort was a genuine bid by the White House to address the plight of the immigrant, Kilmar Armando Abrego Garcia, whom administration officials have repeatedly acknowledged was improperly expelled to El Salvador last month in violation of a court order expressly prohibiting him from being sent there.

Some legal experts suggested that the sequence of events could have been an attempt at window dressing by officials seeking to give the appearance of being in compliance with the recent Supreme Court ruling ordering the White House to “facilitate” Mr. Abrego Garcia’s release.

The disclosure about the note adds to the confusion about the Trump administration’s efforts to free Mr. Abrego Garcia and whether it is seeking to comply with court orders. Even as the administration appeared to be moving privately to work toward Mr. Abrego Garcia’s release, it has publicly expressed unwillingness to bring him back to the United States.

The revelation came just hours after the president, reversing course on his administration’s previous statements, said in an interview with ABC News that he had the ability to bring Mr. Abrego Garcia back. The president added that he did not believe Mr. Abrego Garcia was a good person and that his administration’s lawyers would decide. The Justice Department is also facing a court-ordered deadline of early next week to provide information about what it has done to seek his freedom.