President Donald Trump on Wednesday said Iran's "New Regime President" has asked the U.S. for a ceasefire.

But the U.S. will "consider" the offer only once the Strait of Hormuz is "open, free, and clear," Trump said on Truth Social.

"Until then, we are blasting Iran into oblivion or, as they say, back to the Stone Ages!!!" he wrote.

Tehran denied that it requested a ceasefire, Al Jazeera reported later Wednesday morning, citing an unnamed Iranian official.

Iran Foreign Minister Abbas Araghchi told Al Jazeera on Tuesday that Tehran is not looking for a ceasefire but is seeking to end the war.

"At present there is no negotiation," Araghchi told the outlet in an interview, according to a translation.

The White House did not immediately respond to CNBC's request for additional information on the dispute over the alleged ceasefire request.

It was not clear if any request was made directly to the U.S., as Trump's post suggested, or if it came via an intermediary, such as Pakistan.

And even if President Masoud Pezeshkian had asked for the ceasefire, he may not have the last word: Iran's supreme leader, not its president, has ultimate authority in the Islamic Republic.

The current supreme leader, Ayatollah Mojtaba Khamenei, has refrained from making public appearances since his accession following the killing of his father, the former Ayatollah Ali Khamenei, in an airstrike at the start of the war.

The two sides have frequently contradicted each other's claims about the existence and status of peace-deal talks since the war began on Feb. 28 with U.S. and Israeli strikes on Iran.

Trump's Truth Social announcement came hours before he was set to deliver an "important update on Iran" in an address to the nation, according to the White House.

The address is set for 9 p.m. ET.

The month-old war has rapidly caused widespread economic turmoil and massive fluctuations in global energy prices. That turbulence is linked in large part to Iran's continued ability to effectively block the Strait of Hormuz, the pathway for a major chunk of the world's oil shipments.

Trump has acknowledged that the strait remains a key sticking point in the war, even as he and other administration officials insist that Iran's military has been "obliterated" and that the U.S. is rapidly achieving its goals.