UN Human Rights spokesperson Seif Magango made the call in a statement on Friday.
The mice can now play because Africa’s cats have lost their felinity.
Endeavour is the biggest mining company in Burkina Faso, with four gold mines.
Mr Damiba provided “seven conditions” for his resignation.
The secretary-general called on all actors to “refrain from violence and seek dialogue.”
Heavily armed security forces were seen driving through the capital of Ouagadougou.
This is the second coup witnessed by the African country since January of this year.
It was not clear yet if this was a coup attempt but it bore the hallmarks of other power grabs that have swept across West and Central Africa over the past two years.
A peacekeeper from Burkina Faso serving in Mali, Alizeta Kinda, has been honoured for her work to boost trust between the authorities and local communities.
The UK has also announced further humanitarian funding to several West African countries in the Sahel region, including Mali, Burkina Faso, Chad and Niger.
