The players will be picked up by the presidential plane in order to allow them to travel home as straightforwardly as possible.
"The head of state (Gnassingbe) has decided we will return," Adebayor told RMC.
"There was a meeting between players yesterday (Saturday) and we said we were still footballers.
"We all decided to do something good for the country and play to honour those who died.
"Unfortunately, the head of state and the country's authorities have decided otherwise. We will pack up and go home."
And it was talking to the president himself that had clinched the decision for the Togo skipper.
"That's what made the difference," he added.
"It was also our families and loved ones at home who called us. They told us we could continue if we wished but that it is the authorities who have the information.
"Is there going to be another attack? Nobody knows. If they asked us back (home), maybe they received a call saying that the threat was not passed.
"We are obliged to respect that. The head of state knows what is good for our careers and our lives.
"The presidential plane will pick us up.
"He told me that the plane had left Lome. There are about two hours flying between Lome and Cabinda. We will leave in two or three hours."
The Manchester City star admitted that the players had at first been keen to continue their participation in the tournament.
"This Friday at 14:30, we were all dead on that bus," he said.
"We sent our last messages to our families. We called our family to say our last words.
"I told myself: 'If you're still there on the ground in Angola, why not (play in) the CAN?'
"Today, the authorities decided we should return, so we will return."
Ivory Coast and Ghana have also reportedly considered a return home from the tournament following the atrocity.
Adebyor has apparently spoken to players in the squads representing those countries wishing them luck.
captain and spokesman of Togo, I spoke with all authorities. I told
them to take the measures necessary for our security," he explained.
"I spoke with the captain and the Ivory Coast delegation and with Ghanaians. They expressed their support by saying they were ready to leave the competition if we did.
"(But) at the end of the day, we realised that they were ready to continue. It is still a continent where a World Cup will take place in South Africa.
"If we speak of the dead, the competition should have been cancelled. But CAF (Confederation of African Football) have decided otherwise.
"We're going back and we wish good luck to those who will remain, especially to Burkina Faso, Ivory Coast and Ghana.
"What I have told their leaders is that they may be attacked at any time in Cabinda. I hope they will be cautious."Zack Wilson, Goal.com UK