Trump's decision drew swift criticism from the deal's other signatories, including US allies in Europe that tried for weeks to persuade Trump to remain on board and said they plan to keep their commitment to the deal.
If the deal collapses completely, worldwide monitoring of Iran's nuclear facilities and restrictions placed on the country's nuclear program could end, while sanctions demanded by the USA on the Iranian oil industry and other sectors could be reimposed. The announcement triggered US plans to reimpose sanctions on the Islamic Republic within about six months.
In a separate interview on CNN's "State of the Union", he said Iran's economic condition is "really quite shaky", so the impact of sanctions "could be dramatic".
Bolton, who has in political circles, a reputation as a "hawk" claimed that USA sanctions will be a decisive argument and convince Europe to reconsider a deal with Iran.
"I think the Europeans will see that it's in their interests to come along with us", Bolton explained.
By reimposing American sanctions, Trump placed those companies at risk because the US might crack down on them in the America-centric global financial system and technology trade.
"The consequences of American sanctions go well beyond goods shipped by American companies", Bolton said. A short month after meeting between Trump and Kim Jong-UN to agree on denuclearization of North Korean regime, Secretary of state said that sanctions could be "lifted" against Pyongyang if it dismantles all its capacity in nuclear armament. "As those sanctions kick in, it will have an even broader effect as well", he said.
In the CNN interview, Bolton did not respond directly when asked whether Trump might seek "regime change" in Iran, or whether the USA military would be ordered to make a preemptive strike against any Iranian nuclear facility.
"If you look at the advances that Iran has made under cover of this agreement, its conventional military and terrorist advances, in Iraq, in Syria, in Lebanon, in Yemen, since 2015, Iran was really on the march", Bolton told ABC's "This Week".
But there are those within Iran's government who are less certain of the agreement's longevity.
"Diplomacy isn't Trump's strong suit", Stimson Center arms control expert Michael Krepon wrote recently. "Our goal should be regime change in Iran".
As to the idea of whether or not Iran felt less constrained now that the Trump administration pulled out of the Iran Deal, Pompeo had a concise answer: "That's ludicrous".