Traore, the 34-year-old army captain who was named in charge after the Friday evening coup was announced on state television, said in interviews that he and his men did not seek to harm Damiba.
"If we wanted, we would take him within five minutes of fighting and maybe he would be dead, the president. But we don't want this catastrophe," Traore told the Voice of America. "We don't want to harm him, because we don't have any personal problem with him. We're fighting for Burkina Faso."
He later told Radio Omega: "We have no intention to bring Damiba to justice. We only wish that he would go rest because he is tired, and as for us we are going to continue to do the work."
As uncertainty prevailed, the international community widely condemned the ouster of Damiba.
U.S. State Department spokesman Ned Price said Saturday that the United States "is deeply concerned by events in Burkina Faso."
"We call on those responsible to de-escalate the situation, prevent harm to citizens and soldiers, and return to a constitutional order," he said.
The African Union and the West African region bloc known as ECOWAS sharply criticized the developments.
"ECOWAS finds this new power grab inappropriate at a time when progress has been made," the bloc said, citing the recent agreement Damiba had made to return to constitutional order by July 2024.
After taking power in January, Damiba made promises to end the Islamic extremist violence that has forced two million people to flee their homes in Burkina Faso. But a group of officers led by Traore said Friday that Damiba had failed and so was being removed.
The new junta leadership said it would commit "all fighting forces to refocus on the security issue and the restoration of the integrity of our territory."
But it remains to be seen whether the junta can turn around the crisis.
- Mutinous soldiers say military junta now controls Burkina Faso
Concerns were already mounting on Saturday, though, that the latest political volatility would further distract the military and allow the jihadis to strengthen their grip on growing swaths of the once peaceful country.
For some in Burkina Faso's military, Damiba was seen as too cozy with former colonizer France, which maintains a military presence in Africa's Sahel region to help countries fight Islamic extremists. Some who support the new coup leader, Traore, have called on Burkina Faso's government to seek Russian support instead.
"One point of contention that has divided the MPSR [junta], the army and indeed the population for months is the choice of international partners," said Constantin Gouvy, Burkina Faso researcher at Clingendael, the Netherlands Institute of International Relations.
"Damiba was leaning toward France, but we might see the MPSR more actively exploring alternative from now on, with Turkey or Russia for example," Gouvy added.
In neighbouring Mali, the coup leader has invited Russian mercenaries from the Wagner Group to help with security, a move than has drawn global condemnation and accusations of human rights abuses.
Mali also saw a second coup nine months after the August 2020 overthrow of its president, when the junta's leader sidelined his civilian transition counterparts and put himself alone in charge.
Chrysogone Zougmoré, president of the Burkina Faso Movement for Human Rights, called the latest overthrow "very regrettable," saying the instability would not help in the fight against the Islamic extremist violence.
"How can we hope to unite people and the army if the latter is characterized by such serious divisions?" Zougmoré said.