Skocic, who took over from Marc Wilmots as coach in February 2020, secured Team Melli a spot in the World Cup by topping its qualification group ahead of South Korea.
The Croatian won 15 of his 18 games in charge but lost two of his last three matches, including a 2-1 friendly defeat by Algeria in Qatar last month.
Former Bayern Munich striker Ali Daei and ex-Osasuna midfielder Javad Nekounam are candidate to replace the 54-year-old coach.
Iran will be appearing in the World Cup for the sixth time in the country's history and on a third consecutive occasion.
Iran has been drawn in Group B and will kick off the campaign against England on November 21 before taking on Wales and the United States.