'global imperative' is correct and usable in written English.
You can use it to refer to an idea or demand that is important on a global level, such as the urgent need for international action to address climate change. For example: "In light of the impending climate crisis, it is a global imperative that governments across the world implement more stringent environmental policies as soon as possible."
To build on the progress made to date, we need a worldwide public movement to make Global Zero an urgent global imperative -- and to bring all nuclear weapons countries to the table to negotiate multilateral nuclear arms reductions for the first time in history.
Erel N. Margalit, the founder of Jerusalem Venture Partners, spoke, too, about a global imperative.
Humanitarian aid is not the preserve of the west but a global imperative.
"The Global Imperative: Building a Democratic World Order," Current History, Vol. 93, no.
Sustainability is a global imperative and a scientific challenge like no other.
A critical exploration of today's global imperative to innovate, by champions, critics, and reformers of innovation.
But global imperatives go both ways.
Biosphere reserves, designated under UNESCO's Man and the Biosphere (MAB) Programme, are now regarded as key mechanisms to achieve global imperatives such as the Sustainable Development Goals.
Seventh Generation is organized around seven "global imperatives"—three of which are that we work to restore the environment, help create a just and equitable world, and encourage associates to think of themselves as educators dedicated to inspiring conscious consumption.
Water shortages in many rice-growing regions, combined with growing global imperatives to increase food production, are driving research into increased water use efficiency and modified agricultural practices in rice-based cropping systems.
Shortfalls in global food production, coupled with the growing visibility of climate change's disruptive effects, have underlined for many observers the importance of devoting rural lands to their 'optimal' use, where they can make maximal contributions to the global imperatives of feeding the human population and maintaining vital environmental services.
