Meanwhile, thousands of people packed the streets of the southwestern Iranian city of Ahvaz to mourn the victims of Saturday's assault. The IRGC has an estimated 125,000-strong military with army, navy and air units.
"You are responsible for these actions; you will face the repercussions", the general said.
The Iranian Students' New Agency reported that authorities killed three attackers on site and another died of his injuries at a hospital.
"We will punish the terrorists, one by one", he promised the crowd.
After Saturday's attack in Ahvaz, Abdulkhaleq Abdulla, a prominent United Arab Emirates scholar tweeted that the attack wasn't really a terrorist incident at all.
"These are ruthless people with no shred of humanity in them", he said.
Even though Khuzestan is regarded as the birthplace of the Iranian nation, Arab separatism has been a decade-long issue in the region.
The Ahvaziya is an Iranian ethnic Arab separatist organisation and considered a terror organisation by the Iranian government. Khuzestan province also has seen recent protests over Iran's nationwide drought, as well as economic protests.
Iranian President Hassan Rouhani has compared the terrorist attack at the Ahvaz military parade to the 9/11 attacks, and lambasted USA ambassador to the UN Nikki Haley, who suggested the attack was a result of Tehran's policies.
The UAE minister of state for foreign affairs, Anwar Gargash, for his part, stressed his country's rejection of acts of terrorism and accused Tehran of a campaign of "official incitement" against the Emirates.
Two of the men spoke in Arabic about jihad, while the third spoke in Farsi suggesting they were targeting the Iranian Revolutionary Guards. Iranian state media have not acknowledged the IS claims.
Indeed, his personal lawyer, Rudolph Giuliani, boasted on Saturday that USA sanctions are hurting Iran: "I don't know when we're going to overthrow them". The claim further raises tensions in the Mideast as Tehran's nuclear deal with world powers is in jeopardy after President Donald Trump withdrew the United States from the accord.
Iranian officials were quick to point the finger at an Arab separatist group and its alleged global backers. Unlike many other news organizations, we have not put up a paywall.
At Monday's funeral, however, those attending rallied around the Iranian government and its soldiers. Eight members of Iran's Revolutionary Guard were also killed in one of the worst attacks suffered by Iran in years.
Following the OPEC meeting, which left the OPEC+ supply as-is without announcing any immediate production boosts, oil prices jumped to four-year highs early on Monday, with Brent Crude breaking above $80 at $80.03 as of 07:41 a.m. EDT, and WTI Crude rallying 1.68 percent at $71.97.