The phrase "center of debate" is correct and usable in written English.
Example sentence: The increasing number of refugees has become the center of debate in many countries.
Several factors have brought the immigration issue to the center of debate.
At the center of debate in Washington is a simple question: At this point, what can the United States really hope to achieve in Afghanistan?
The idea of tyranny has thus been at the center of debate about legitimacy in rulership and the balance of power between ruler and people.
A country where people's right to water is written in the constitution, post-apartheid South Africa has long been the center of debate over water privatization.
She has certainly been the center of debate over the propriety of her actions, including insulting exchanges on the town's online chat room, ChatPutnam.com.
Sometimes it becomes the center of debate, as happened recently when NewSouth Books published a new version of "Huckleberry Finn" that replaced the word "nigger" with "slave".
Personhood stands at the center of debates as diverse as the legal status of embryos and animals to the rights and responsibilities of corporations and nations.
With China in the center of debates over FIPA and the west coast pipeline, Canada's government then approved the takeover of the Canadian energy giant Nexen by the Chinese state-owned oil firm Cnooc.
Neurath's early work on the history of economics placed him at the center of debates over historiography and the human sciences.
The anti-subordination feminist perspective aims to dislodge questions about biological and psychological difference from the center of debates about the family and reproduction.
The First Amendment is pretty direct in its purpose, but it has been at the center of debates for ages.
