Cameroon suffered three Group A defeats, to Brazil, Mexico and Croatia, as they scored once and conceded nine times to finish bottom of the table.
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In the 4-0 defeat by Croatia, Alex Song was sent off while team-mates Benoit Assou-Ekotto and Benjamin Moukandjo extraordinarily clashed with each other.
The statement added: "We wish to inform the general public that, though not yet contacted by Fifa in regards to this affair, our administration has already instructed its Ethics Committee, to further investigate these accusations.
"We are strongly committed to employ all means necessary to resolve this disruptive matter in the shortest delays."