The board and several ASA employees were suspended by South Africa's Olympic governing body, SASCOC, last week.
Despite initially agreeing to comply with SASCOC's findings following a commission of enquiry, the board and suspended members have vowed to fight the Olympic body, which they believe has no power to suspend ASA board members and employees.
On Tuesday four provincial members - the Eastern Province, Western Province, Boland and Free State athletics associations - again called for the ASA board to resign.
The federation, however, will hold a meeting on November 21 to give members a chance to voice their grievances after ASA has been widely criticised for their handling of the Caster Semenya gender fiasco.
"The purpose of the meeting is for ASA members to pronounce on the leadership of the board," the federation said in a statement.
"It will also provide further opportunity for members to deliberate on matters as have unfolded over the past few weeks.
"The board believes that the outcome of this matter will pave the way for ASA going forward in the interests and to the benefit of all its members and athletes."