Liverpool's Joel Matip is one of seven Cameroon players who have said they do not want to go to the Africa Cup of Nations, which begins on 14 January.
The defender cited a "bad experience" with the previous coaching staff, according to a Cameroon football association (Fecafoot) statement.
West Brom full-back Allan Nyom is also among the seven.
Fecafoot can ask Fifa to suspend the players at club level for the duration of the three-week tournament.
Cameroon coach Hugo Broos said: "These players have put personal interest above those of the national team and the federation reserves the right to take action against the players in accordance with Fifa regulations.