"One of the things that we are calling on are social media companies like Facebook and Instagram and Twitter to shut down the accounts of Supreme Leader (Ayatollah Seyed Ali) Khamenei, the Foreign Minister (Mohammad Javad) Zarif and President (Hassan) Rouhani until they restore the Internet to their own people", Brian Hook, special U.S. representative for Iran, said in an interview with Bloomberg on Saturday.
On Thursday, Iran's National Security Council that had ordered the shutdown approved reactivating fixed-line internet in some areas after a five-day outage.
The government nevertheless has begun reestablishing Internet coverage after around 100 of the ringleaders of the riots had been apprehended.
Anti-government protests spread across Iran last week after the government abruptly raised gasoline prices by at least 50 percent.
The judge then added: "Holding a man hostage and torturing him to have more weight in negotiations with the United States is outrageous, he deserves to be punished and surely needs deterrence".
The government said the fuel price rise would allow it to provide welfare payments to the needy in Iran, where many have struggled to make ends meet since the United States reimposed punishing sanctions after withdrawing from a landmark nuclear deal past year.
Facebook, Instagram, and Twitter didn't immediately respond to a request for comment in AFP. That made determining the scale and longevity of the protests incredibly hard. By Saturday morning, internet connectivity stood below 20% of normal levels, according to the monitoring group NetBlocks.
The United States is imposing sanctions on Iran's information minister for blocking Internet access in the wake of widespread anti-government protests.
"Iran has become so unstable that the regime has shut down their entire Internet System so that the Great Iranian people can not talk about the tremendous violence taking place within the country", Trump tweeted. "I'm not the only member of club of sanctioned persons (Based on Trump's fairy tales)", he wrote in a post.
It is widely believed that Jahromi, the prime minister of the government born after the 1979 Islamic revolution in Iran, is considering a presidential race in 2021.
"All the forces of the Revolutionary Guards, the (paramilitary) Basij, the Intelligence Ministry, police, and the army took part actively in controlling the situation", Parviz Tavassolizadeh, the head of the judiciary in Kermanshah, was quoted as saying by the semi-official Fars news agency. Iran's top prosecutor, Mohammad Javad Montazeri, meanwhile, visited a major prison in Tehran and promised that the fate of some of those arrested amid the protests would be decided soon, the state-run IRNA news agency reported.
Iranian Vice President Eshaq Jahangiri on Saturday warned regional countries of consequences if it is proven that they meddled to stoke recent unrest in Iran. "Iran is not a country you can play such games with".