The phrase "through coup" is grammatically correct and can be used in written English.
You can use it when describing a situation where an act of seizing power or overthrowing a government has occurred through a coup d'état. Example: "The military took control of the country through coup, overthrowing the democratically elected government."
Political authority, however, has often been held by the military, which has taken power through coups.
The Iranians have been watching us pretty closely, through coups and revolutions and wars and hostage negotiations and the imposition of sanctions.
This cause gained momentum just after World War II and, through coups, dictatorships and oppressive regimes, stretched to, and beyond, the first democratic elections in South Africa.
Younger Turks panicked after seeing older Turks, who have lived through coups and the street violence that has come with them, react with horror.
The action was a first in a country where the powerful military has regularly ousted civilian governments, either directly through coups or indirectly through constitutional maneuvers, and it offered hope that the parliamentary system was maturing.
In Turkey, a court recently imprisoned dozens of senior military officers on charges of plotting to overthrow the government, a punitive reminder to a military once accustomed to reasserting its authority through coups.
Political scientists are still not completely certain, for example, why some systems have managed to avoid violent political change for considerable periods, while in other systems change is typically accomplished through coups d'etat, revolutions, and other forms of internal warfare.
You could leave the country for three months, travel the world, through coups d'état, assassinations, famines, massacres and tsunamis, and come home to find that the only new thing in the newspapers was the crossword puzzle.
As a consequence the then President of Ecuador was deposed and the country suffered through political convulsions that saw four heads of state installed and quickly replaced through coups or countercoups in a period of four years.
