Sean Hannity was in the news, and during his prime-time show on Fox News on Monday night, it was clear that he knew it.

During a court hearing earlier that day, Mr. Hannity was named as a client of President Trump’s personal lawyer, Michael Cohen, whose office, home and hotel room were raided and searched by F.B.I. agents on April 9 as part of a criminal investigation.

He had already denied being a client on his radio program and on Twitter, and when his Fox program “Hannity” came on at 9 p.m. Eastern, he vowed to address what he called the “rumors and speculation.”

Before the raid, Mr. Cohen himself had been a frequent guest on Mr. Hannity’s TV and radio programs.

In the week since, Mr. Hannity had discussed the lawyer and his relationship to Mr. Trump multiple times without disclosing any significant connection to Mr. Cohen, something criticized on the air by the lawyer Alan Dershowitz, a frequent guest who had discussed the matter on the show during the past week.