Players' organisation Fifpro is also calling for help.
The union said it was working with governments to establish an evacuation plan, adding: "The ambition is to bring as many people to safety as possible."
Fifa said the situation in Afghanistan "remains unstable and very worrying".
Earlier this week, former Afghanistan national women's team captain Khalida Popal pleaded with sporting bodies to "help get our players safe" because she fears for those left behind under the Taliban rule.
Many of the country's female footballers have gone into hiding since the takeover.