Tehran's prosecutor Abbas Jafari-Dolatabadi said some protesters near the bazaar were arrested on Monday and would not be released before going to trial.
When Trump announced that the U.S. was quitting the nuclear accord, he warned that other nations would face sanctions unless they stopped trading with the Islamic Republic.
Videos showed protesters confronting police in the capital, Tehran, as the Iranian rial plunged to 90,000 to the dollar - double the government rate of 42,000 rials to $1.
Iran's currency, the rial, has lost half its value against the USA dollar in less than a year; the government has set an exchange rate of 42,000 rials to $1, but dollars are going for 90,000 rials on the black market.
At the end of previous year, similar economic protests roiled Iran and spread to some 75 cities and towns, becoming the largest demonstrations in the country since its 2009 disputed presidential election.
President Hassan Rouhani has sought to reassure Iranians that the country and its economy would be able to handle new sanctions. He did not elaborate on the number of people detained. "In recent days some tried to shut down the Bazaar, but their plot was thwarted by the police", Ayatollah Sadeq Larijani was quoted as saying by Fars news agency.
The threat of restored USA sanctions has caused the rial to collapse, hurting business by driving up the cost of imports.
Iran has also suggested it could increase its uranium production in response to the USA pullout, which others fear could worsen the situation the nuclear deal sought to avoid.
China, Europe warn trade war could trigger global recession
Beijing has vowed to strike back in equal measure against the tariffs, the first wave of which are due to take effect July 6. It remains unclear exactly how the Trump administration will define what technology is "industrially significant".
But that deal came under Barack Obama's administration.
Apart from the rial's collapse, the Iranian private sector has always been starved of investment, its banking system is crippled by bad loans and record levels of unemployment mean a third of under-30-year-olds are out of work.
Rouhani's own power within Iran's government appears to be waning, with some openly calling for military officials to lead the country. While the U.S.is out, other countries remain committed to the deal.
Tehran has long denied wanting to build nuclear weapons, despite fears from the West and the United Nations.
But removing Iranian oil from the global market by November, as called for by the United States, will not happen, an Iranian oil official told the semi-official Tasnim news agency on Wednesday. "But we will not sacrifice our independence", said Rouhani in an address broadcast on state television.
The senior USA official, briefing reporters on condition of anonymity, admitted that this would be unpopular. He also said that the country will soon tighten the noose on Tehran as it is on their list of national security. However, with Donald Trump's access to the presidential post things have changed.
Stopping Ronaldo is "almost impossible", said Netanyahu, "but the Iranian team just did the impossible". "It supports far-right political parties in Iraq and Lebanon and elsewhere and then pretends that the extremists who respond to them require more Iranian presence to "defend stability".