Inzko told the Austrian "Kurier" daily on February 9 that the situation in Bosnia was "the worst" since the end of the 1992-95 war.
"If the situation escalates, we will possibly have to think about EU troops. But not right now," he said.
Bosnia was rocked by three days of violent protests this week against unemployment, poverty, and corruption.
Hundreds of people were injured, and government buildings were set on fire in several cities, including in the capital, Sarajevo, on February 7.
Local governments in four cities, including Sarajevo, have resigned amid the unrest.
Tensions, however, began to ease on February 8, when protests were mostly peaceful.
On February 9, hundreds of people marched in Sarajevo to accuse police of mistreating recently arrested protesters and demand their release.
The U.S. Embassy in Sarajevo issued a statement saying politicians should listen to the protesters and authorities should end the violence.
PHOTO GALLERY: Bosnia-Herzegovina: The Calm After The Storm