Qassemi added that the Islamic Republic will decide on whether or not to remain in the nuclear deal after carefully examining them from the point of view of its national interests and concerns.
The pact was the centrepiece of President Hassan Rouhani's promise to modernise Iran's economy that won him two landslide elections but has yet to bring widespread tangible benefits for many Iranians.
Former House speaker Gingrich and ex-New York mayor Giuliani also told a rally of thousands of Iranian opposition supporters in Paris that Trump needed to turn up the heat on European countries still seeking to do business with Tehran despite reimposed USA sanctions.
Speaking to graduating Revolutionary Guards officers, Khamenei accused the United States and Sunni Muslim Gulf Arab states that regard Shi'ite Muslim Iran as their main regional foe of trying to destabilize the government in Tehran.
Their comments came after US Secretary of State Mike Pompeo this week gave his backing to the strikes and protests over economic woes, not least the collapse of the Iranian rial following the US withdrawal from the nuclear deal.
But the future remains grim for Mr Rouhani, whose country has yet to feel the full force of USA sanctions on Iranian oil exports which come into effect in November.
However, the weekend protests quickly acquired a political edge, with people shouting slogans against Iran's ultimate authority, Supreme leader Ayatollah Ali Khamenei, and other top officials, calling them thieves who should step down.
He further said, "The objective of the current economic pressures is to make people fed up, but with divine power, we will increase our bond with the people day by day, and by preserving our coherence, we will strengthen the faithful, motivated and proactive youth".
"Patience" and "resistance" are required to reach causes of the Islamic Revolution, Ayatollah Khamenei added.
Iran says this level of cuts will never happen.
But Trump may be in no hurry to embark on negotiations that might bolster Iranian clerical leaders.
Thousands of people including merchants took to the streets on Sunday and marched towards the parliament building where they shouted slogans against Iranian authorities.
"The enemy's plan is to create gaps and separations between the establishment and the people, and this design reflects their stupidity because they do not know that the Islamic Republic is nothing but the Iranian nation, and these two can not be separated", Iranian leader Ayatollah Seyyed Ali Khamenei said.