A spokesperson for U.S. Forces Korea (USFK) on Tuesday denied receiving any instructions yet as to the official nature of Trump's announcement.
Moon Seong Mook, a former South Korean military official, said Trump's comments on the drills confirmed what many in South Korea had feared all along - that North Korea would attempt to drive a wedge between Washington and Seoul and gain substantial concessions from an unconventional US president who thinks much less of the traditional alliance than his predecessors.
"We hope that the two countries' highest leaders can dispel interference, establish mutual trust, overcome difficulties and can reach a basic consensus on promoting and achieving the denuclearisation of the peninsula and promoting and establishing a peace mechanism for the peninsula", Mr Wang told reporters.
U.S. President Donald Trump answers questions during a press conference following his historic summit with North Korean leader Kim Jong Un in Singapore, on June 12. The declaration sets up the four points of agreement.
"It is surely a historical moment that we all wanted to see, but I think it is still early to launch related products celebrating the historical moment of the two leaders", an industry insider told The Korea Herald.
Speaking later, the prime minister struck a noticeably more upbeat tone.
But Trump suggested that China has already been relaxing trade controls. Trump was giving denuclearisation on the Korean peninsula "a red-hot go". "They are incredible people, devastated as you can imagine".
"And he has chosen to take a very dynamic, very personal approach to this that none of his predecessors have done in the past". In one case, they took billions of dollars during the Clinton regime. But, you know what? But the president also left open the possibility that the exercises could continue if negotiations don't work.
The first three pages of Wednesday's coverage in the Rodong Sinmun included 33 images of Trump, Kim, other attendees, and an image of the signed joint declaration.
Some industry insiders said if they had known that things would fold out this quickly, they could have prepared to launch Trump-Kim commemorative goods. 'And Obama did not give me the time of day'.
"We don't need a miracle".
And if suspending exercises helps generate a breakthrough that makes continued basing of US troops in South Korea less necessary, said retired Army Lieutenant Colonel Daniel L. Davis, a former adviser to the Second Republic of Korea Army in an email, "it would be an exceptional return on investment".
"He, Kim Jong Un, has been signaling that there's a new Sheriff in town". "In the micro sense, it's about the families whose loved ones fought and died and have remained in North Korea".
"Less provocations by North Korea will mean less emergency situations and drills for soldiers like me".
"What the United States has gained is vague and unverifiable at best".
China, historically North Korea's closest partner, has also sought a "freeze for freeze" agreement in which the exercises would be suspended in exchange for North Korea's stopping its weapons development.
She said the global community was at the beginning of a very long process: "The detail is still to be worked through".
Abraham Denmark, a deputy assistant secretary of defense for East Asia affairs during the Obama administration, said Tuesday that the United States has previously canceled military exercises with South Korea while attempting to negotiate with its neighbor to the north.
In the lead-up to the summit, the US and South Korea had moved forward with war games.