The man known as the 'Mourinho of Africa' is not happy with the way in which the Burkinabe federation managed the team before and during the Afcon
The Stallions lost 2-1 to Angola in their first Group B match earlier in the week, before a defeat to Cote d'Ivoire by two goals to nil on Thursday saw his team ejected from the finals in Gabon and Equatorial Guinea.
"We played fantastic football against the strongest team in the group, we played a perfect game," said Duarte, referring to their match against the Elephants.
He then attacked the federation over the failure to obtain clearance for three naturalised players.
"We lost three players just before the start because we didn't manage to get them qualified," said the trainer.
"That just can't be allowed to happen, it's unthinkable... it's primitive," he told reporters in Equatorial Guinea.
He went on to add that the blame should not be placed on his players, who played well throughout their campaign, but to the FA for their incompetence.
"On the field we play quality football, off the field there are successive errors. I haven't decided if I will continue yet. That option is open to me but I'll have to think about it."