The Portuguese, 62, who assisted Alex Ferguson at Manchester United for five years, took Iran to the 2014 World Cup.
There has been no official confirmation of Queiroz’s departure, but he spoke of his intention to quit after his side’s friendly defeat by Sweden on 31 March.
“Based on the words of the president, there is no other option,” he said.
“We feel the team and the players are doing great and everybody has a lot of pride every time Iran play. But unfortunately the federation don’t see it like all the other people.
“We’ve been preparing with no support, no friendly games, no money, no salaries. But for them it’s not enough.”
Queiroz in international management
|Portugal 1991-1993 and 2008-2010||United Arab Emirates 1998-1999|
|South Africa 2000-2002||Iran 2011-2015|
Queiroz previously managed Real Madrid and the Portuguese national team before joining the Iran set-up in 2011.
He led the nation to last summer’s World Cup but said he planned to quit after the tournament because of a lack of government financial backing.
After finishing bottom of Group F, Queiroz decided to stay on and managed the side in this year’s Asian Cup, where they reached the quarter-finals.
But now his future is once again up in the air, even though federation president Ali Kafashian appeared on national television saying he wanted to keep him on as manager.
Speaking of a meeting he held with the federation, Queiroz insisted: “The president agreed there was no other option but to go our separate ways.
“We’ve been forced to make a mutual agreement. But now it looks as though I’m the bad boy in the story.
“But for a peaceful agreement, I don’t mind becoming the bad boy because the fans know the truth.”