"It is better for him to try to address the USA internal issues like the murder of scores killed on a daily basis in the United States during armed clashes and shootings, as well as millions of the homeless and hungry people in the country", Ghasemi said, according to the state-run IRNA news agency.
President Rouhani has been widely criticised.
Peek's comments come as the president and high-level officials in the Trump administration voice support for protesters in Iran. The protests then rapidly spread throughout the rest of the country of 80 million people.
Now, they've morphed into demands for wholesale change in Iran's theocratic government.
Despite a billion dollars released to Iran by the United States, inflation is worsening and unemployment remains high among young people. A recent increase in egg and poultry prices by as much as 40 percent, which a government spokesman has blamed on a cull over avian flu fears, appears to have sparked the protests.
USA policy should also highlight and denounce the regime's repression and human rights abuses.
So far, no central leadership has emerged.
Pro-regime demonstrations denouncing the 2009 Green Movement leaders also may have provoked a political backlash. Macron said he was anxious about "the number of victims from the demonstrations" and called for respect the right to protest and freedom of expression.
But even as he attempted to mollify protesters, authorities said they blocked Instagram and the messaging app Telegram on Sunday in a move aimed at blunting the demonstrations.
Demonstrators' videos corresponded with Associated Press reporting from outside of Iran, though individual activists remain unreachable and the protests for now appear leaderless. President Hassan Rouhani acknowledged the public's anger over the Islamic Republic's flagging economy, though he and others warned that the government wouldn't hesitate to crack down on those it considers lawbreakers.
"Some armed protesters tried to take over some police stations and military bases but faced serious resistance from security forces", state TV reported.
According to state TV, the demonstrations took place in at least 10 cities, including Ahvaz, the capital of the oil-rich province of Khuzestan, the Kurdish town of Kermanshah in the country's west, and Qom, the religions capital of Shia Islam in Iran.
Since the protests began up to 400 people reportedly have been arrested, including 200 in Tehran on Saturday night.
The 2015 nuclear deal with the U.S., Russia, Germany, France, China and the United Kingdom required that Iran roll back parts of its nuclear program for ten years in exchange for sanctions relief. The State Department has accused Iran's leaders of turning "a wealthy country with a rich history and culture into an economically depleted rogue state whose chief exports are violence, bloodshed and chaos".
And late on 31 December, Mr Trump tweeted more criticism of events in Iran.
Under the agreement, the Islamic republic is permitted to resume nuclear weapons development after ten years. Elected representatives pass laws and govern on behalf of their constituencies. The final unique element was revealed in what the people were demanding from the regime's leaders. The Guardian Council, a 12-member panel half selected by the supreme leader and half nominated by the judiciary and approved by parliament, must approve all laws.
Demonstrators have called for more protests in the days ahead.
Television also broadcast footage of similar pro-government gatherings in the cities of Shiraz, Isfahan, Ardabil, Birjand and Yasuj. Ultimately, the supreme leader will decide how to respond. "And he's got a lot of loyal and ruthless troops at his disposal".