The Confederation of African Football has approached Ghana and South Africa about hosting the 2015 Nations Cup.
Last week, scheduled hosts Morocco asked Caf to postpone the January tournament because of fears over Ebola.
"Caf wrote to us and indicated that Morocco had given strong indications they would pull out if Caf did not change the date," Ghana Youth and Sports minister Mahama Ayariga said.
South Africa have been sent a similar letter, seen by BBC Sport.
Caf has stated there are no changes to the schedule of next year's tournament and it would discuss the Moroccan health ministry's request on 2 November before meeting Moroccan officials the following day.
Speaking in an interview with Ghanaian radio station Citi FM, Ayariga added: "Caf also indicated that it was firm on the tournament dates but they will meet the Moroccan authorities and take a decision at that meeting.