The official added that if the US shows any sign of "reckless" military aggression, Pyongyang is ready to launch a pre-emptive strike of its own.
President Trump wants the rogue nation to stop testing weapons and missiles and curtail its nuclear weapons program.
The unhealthy relationship between Washington and Pyongyang stems all the way back to the 1950s and the Korean War. But the heat has been rising rapidly since Trump took office in January.
Concern about North Korea's nuclear program is as high as its ever been: Kim Jong-un has stepped up his testing program and the USA sent a carrier strike group to take up a position in range of the Korean peninsula, drawing a threat from Kim to strike first. But it's doubtful the North is now able to build reliable, survivable warheads for an intercontinental ballistic missile that can strike the USA mainland, he said.
Later, Chinese Foreign Ministry spokesman Geng Shuang said North Korea should not carry out nuclear test.
North Korean nuclear tests were previously followed by angry condemnations and threats of more sanctions.
After Korea was liberated from Japanese rule following the end of the Second World War, a United States military government took control of what would become South Korea, while Soviet forces oversaw the North.
"As long as dialogue takes place, it can be official or unofficial, through one channel or dual channels, bilateral or multilateral".
China along with the USA has been pushing for increased sanctions against North Korea for its weapons programs. Expectations are high the North may put its newest missiles on display during Saturday's parade.
There's also anger in Pyongyang over the annual spring military exercises that the USA holds with South Korea.
Han also addressed the recent tweets that President Trump has posted, saying that they only serve to most likely make matters worse and further inflame the conflict.
The statement emphasized that any encroachment of North Korea's dignity or sovereignty by provocative actions by the United States would be mercilessly foiled with "Korean-style toughest counteraction".
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The North has owned up to one such facility, at its Nyongbyon nuclear complex, but the USA government assumes it has more.
Trump is always making provocations with his aggressive words.
In a statement on official news agency KCNA, the North's Korean People's Army said Trump had "entered the path of open threat and blackmail against the DPRK".
"North Korea is looking for trouble". "Remember, Barack Obama ignored the North Koreans for eight years". Leader Kim Jong Un presided over the ceremony before about 100,000 residents and a large contingent of foreign journalists who have been allowed in to cover the holiday. It's not two years from now or five years from now.
"Lately, tensions have risen with the United States and the ROK on one side, and the DPRK on the other, and one has the feeling that a conflict could break out at any moment", Mr Wang said, using abbreviations for South and North Korea. "We are fully prepared to handle it".
How much such comments are bluster, or how realistic they are, is hard to gauge.
Earlier Friday Chinese foreign minister Wang Yi said a conflict over North Korea could break out "at any moment", warning there would be no victor in any war. He said China is willing to support any such effort.
"Once a war really happens, the result will be nothing but multiple-loss".
Chinese officials said Trump's retaliation against nuclear test by North Korea could become a certainty after he ordered recent airstrikes against Syria and authorised to use the "Mother of all Bombs" against IS militants in Afghanistan.
Mr Wang said that whichever side provoked a conflict "must assume the historic responsibility and pay the corresponding price". North Korea, which is developing nuclear and ballistic missile capabilities, is facing increased pressure from the Trump administration to curtail work on the programs.
Even without nuclear weapons, the North could cause severe damage with its conventional artillery batteries aimed at the South Korean capital of Seoul.
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