"We strongly condemn the abduction of a foreign woman who was working for Kandahar people and Kandahar women."
Local police officials said on Tuesday that no one had claimed responsibility for the abduction.
The Taliban has said it is trying to find out if any of its members were involved.
Mizell's employer, Asian Rural Life Development Foundation (ARLDF), is a community-development organisation headquartered in the Philippines.
Homayun Hamidzada, a spokesperson for Hamid Karzai, Afghanistan's president, said investigations are under way "to verify if the abduction has a political motive".
The Taliban, which has links with al-Qaeda, is alleged to have been involved in a series of abductions of foreigners last year.
The group, which was in power between 1996 and 2001, has said the tactic is effective in putting pressure on the Afghan government and its allies.
Criminal groups have also been behind a number of kidnappings in recent months and it is believed they pass their hostages on to the Taliban.