The scandal centres on suspected illegitimate cash withdrawals from a bank account belonging the Commission between 2021 and 2022 totalling around $2.5 billion, according to Iraqi officials - a staggering amount even in a country that regularly ranks among the world's most corrupt.
Hanoun said the judiciary would also ask for notices to be issued for the private secretary and a political adviser to former prime minister Mustafa al-Kadhimi.
Kadhimi and former finance minister Ali Allawi have both denied involvement. The allegations of graft were revealed late last year just before a new government came to power.
Allawi resigned from Kadhimi's government in August 2022 citing political interference in government work and graft. He has since said that he took steps to prevent theft from occurring at the Tax Commission but that his decisions were ignored by other officials.
Reuters could not immediately reach the other officials for comment.
Current Prime Minister Mohammed Shia al-Sudani has said one of his priorities is fighting the rampant corruption that pervades the Iraqi state and has led to the pilfering of untold billions of its oil wealth over the years.
Hanoun, appointed by Sudani, said Iraq was working to extradite people involved in the theft from a number of states including the UAE, Turkey, Jordan and Saudi Arabia, and also called on the U.S. and U.K. "to hand over fugitive suspects."
Hanoun said those involved in the corruption for whom he was demanding Red Notices had taken a share of no less than 100 billion Iraqi dinars ($77 million).
More than 48 people were suspected of involvement overall, he added.
Hanoun later told Reuters that a businessman who has become one of the most prominent suspects in the scandal, Nour Zuheir, had recovered around 380 billion dinars ($292 million) in stolen funds since being released on bail in November 2022.
Zuheir has publicly maintained his innocence of all charges.
Many in Iraq have questioned why the businessman has been allowed to roam free despite officials' allegations that he played a leading role in the theft.
Zuheir's case remained pending and a decision to re-arrest him lay with the judiciary, Hanoun said.
($1 = 1,300 Iraqi dinars)