"I was especially annoyed to hear the stories going around. That's regrettable - in the end it gives a bad image of us, the team. It's a waste of a competition. Everything was avoidable," said Sagna, who did not travel to Euro 2012 after breaking his leg for Arsenal in May.
"It's a shame that this never leaves the team alone."
The unsavoury claims have brought back memories of France's disastrous 2010 World Cup, when Les Bleus crashed out at the group stage after the players refused to train following the expulsion of Nicolas Anelka.
"It's a shame. We had the potential to go further," added Sagna.
"People would take me for a madman for saying that, but I saw a team that could go to the final. I had faith in them."