How long the trio will remain unavailable is down to how successful their respective countries are in Morocco, as the event spans beyond mid-January.
Mazraoui is representing the hosts, who are rated as the bookmakers' favourites to lift the trophy.
Amad is in the Ivory Coast squad, while Bryan Mbeumo looks set to skipper Cameroon, who did not name Andre Onana in their group.
The tournament gets under way on Sunday, when Morocco meet Comoros in a 20:00 GMT kick-off. Mali and Zambia are also in Group A.
The openers for Ivory Coast (v Mozambique) and Cameroon (v Gabon) take place on Christmas Eve.