Maj. Gen. Ali Abdollahi, the commander of Iran's Khatam al-Anbiya Central Headquarters, said in a statement carried by state media on Monday that "any foreign armed force, especially the invading U.S. army, if they intend to approach and enter the Strait of Hormuz, will be subjected to attack."

"We will maintain the security of the Strait of Hormuz with all our might and manage it powerfully," Abdollahi said. The commander said that "all commercial ships and tankers" should "refrain from any action to transit without coordination with the armed forces stationed in the Strait of Hormuz so that their security is not endangered."

The warning came after U.S. Central Command said it would on Monday begin the "Project Freedom" operation "to restore freedom of navigation for commercial shipping through the Strait of Hormuz." President Donald Trump announced the mission on Sunday.

-ABC News' Joe Simonetti

Ebrahim Azizi, the chairman of the Iranian parliament's national security committee, warned on Sunday that the planned U.S. mission to escort commercial shipping through the Strait of Hormuz will be considered "a violation of the ceasefire" by Tehran.

"The Strait of Hormuz and the Persian Gulf will not be managed by Trump's delusional posts," Azizi said, as quoted by the semi-official Fars News Agency.

-ABC News' Will Gretsky

While exiting Air Force One in Washington, D.C., on Sunday, President Donald Trump briefly responded to a shouted question from reporters asking him how negotiations with Iran were going.

"Very well," Trump said. The president did not answer any additional questions.

-ABC News' Isabella Murray

U.S. Central Command posted a statement to X on Sunday confirming that its forces will begin supporting "Project Freedom" in the Strait of Hormuz at the direction of President Donald Trump, beginning on Monday.

"Our support for this defensive mission is essential to regional security and the global economy as we also maintain the naval blockade," Adm. Brad Cooper, CENTCOM commander, said in the statement.

The mission is intended "to restore freedom of navigation for commercial shipping through the Strait of Hormuz," CENTCOM said.

The U.S. military role will be to extend a U.S. defensive umbrella over ships seeking to leave or enter the Strait of Hormuz, a U.S. official told ABC News. Project Freedom is not about providing escorts to ships, the official said.

"U.S. military support to Project Freedom will include guided-missile destroyers, over 100 land and sea-based aircraft, multi-domain unmanned platforms and 15,000 service members," CENTCOM said in its statement.

-ABC News' Lauren Minore and Luis Martinez

South Korea's Defense Ministry on Tuesday said it is "communicating closely with the United States and other relevant countries" regarding the situation in the Strait of Hormuz, after a South Korean-owned tanker was hit by an alleged Iranian attack off the coast of the United Arab Emirates on Monday.

President Donald Trump blamed Tehran for the incident, writing on social media of his "Project Freedom" operation that began Monday, "Perhaps it's time for South Korea to come and join the mission!"

The South Korean Defense Ministry said Tuesday that it had been "actively participating in discussions on international cooperation to ensure safe passage through the Strait of Hormuz."

The statement added that the ministry will "carefully review our position while comprehensively taking into account international law, the safety of international maritime routes, the [Republic of Korea]-U.S. alliance and the security situation on the Korean Peninsula and domestic legal procedures."

-ABC News' Joohee Cho and Joe Simonetti