KCNA claimed that if Trump listens to skeptics in the United States, he would face a "shattered dream" and "miss the rare historic opportunity" to improve relations with North Korea.
The North's last nuclear test, in September 2017, was also its sixth and largest.
During their fake summit, White, as Mr. Trump, said he and his counterpart were working toward "peace". "Chairman Kim will make a wise decision!"
"We want denuclearisation, and I think he'll have a country that will set a lot of records for speed in terms of an economy", Trump said.
"I'm not in a rush. But maybe not", Mr. Trump told a gathering of US governors on Sunday night. "I don't want to rush anybody", he said.
Pyongyang's state media admonished US critics of the upcoming summit between North Korean leader Kim Jong Un and President Donald Trump on February 24 as Kim departed by armored train en route to the summit in Vietnam.
"My reply to this ridiculous threat to deport me for giving interviews and "breaking" immigration law for not having the right papers was that they were just looking for an excuse to threaten me for doing my impersonation in public", Howard X wrote.
"I believe the possibility is open", South Korea's Yonhap news agency quoted Blue House spokesman Kim Eui-kyeom as saying. "As long as there's no testing, we're happy", he said. Its last ballistic missile test was in November of that year, when it tested a long-range missile that experts say is capable of striking much, if not all, of the continental United States.
His exact route is not known, but sources have told Reuters that Mr Kim may stop at the Vietnamese border station of Dong Dang and make the remainder of the journey to Hanoi by vehicle.
Before its testing halt, the North conducted a series of tests that it says has given it the capability of reaching the USA mainland with nuclear weapons.
"So amusing to watch people who have failed for years, they got NOTHING, telling me how to negotiate with North Korea", he said on Twitter.
"Today, the president dropped his demand that North Korea disarm".
"The sanctions that prevent countries from conducting trade, creating wealth for North Korea, those sanctions are definitely going to remain in place", he said. Trump has scoffed at those questioning his handling of North Korea, and added that Chinese President Xi Jinping has been supportive of US efforts. Little has been done since about their stated goal - finding a way to get nuclear weapons off the Korean peninsula.
In return, North Korea could allow global inspectors to observe the dismantlement of its nuclear reactor at Yongbyon, analysts say.
Some experts said these comments effectively revealed the US hand in negotiations, and could deplete the limited leverage American negotiators still have. -North Korea liaison offices and allow some inter-Korean projects, provided the North takes steps toward denuclearisation.
North Korea could become one of the world's "great economic powers" if it relinquishes its nuclear weapons, US President Donald Trump has said.
The commentary said critics of Trump's meeting would bear the responsibility if the summit failed, which they said would leave the people of the United States exposed to "security threats".
North Korea has long insisted it will not give up its nuclear arsenal unless the U.S. removes its troops from South Korea.
Vietnam has released few details about arrangements for the summit including its specific venue or timing.
According to reports, Mr Kim's train passed through China's Changsha city at 13:10 local time (05:10 GMT), and is due to arrive in Vietnam late on Monday. That would have him arriving in Vietnam early on Tuesday.