"room for cooperation" is correct and usable in written English.
You can use it when you want to suggest that two or more people or groups can work together to accomplish something. Here is an example: "There is still room for cooperation between the two countries on this issue."
In all these areas, there is as much room for cooperation as for opposition.
Liberals share the realist assumption that the international system is state-centric and structurally anarchic, but liberals find room for cooperation.
He added: "Without touching the notion of independence, there is a great deal of room for cooperation in many, many areas.
But the assertion of these American interests need not threaten China's sovereignty, and can leave ample room for cooperation in other areas and a healthy respect for China's independence.
If Trump decides to be reasonable as he finally rolls out policies affecting the California Delta, there is room for cooperation.
"There is no room for cooperation in government because the differences in our policy programs are very big and because we know very well that we don't share the same target," he said.
Such complexity provides the two countries the room for active cooperation when interests converge and a degree of preventive cooperation where interests conflict.
But there is ample room for legitimate cooperation between the inspectors and national intelligence agencies.
Something in the American character had produced a far more egalitarian society than any in Europe, and something in that society was producing a different, more modern and exciting national character, with room for experimentation, cooperation and acceptance of differences.
In a letter to the Chinese president, Jiang Zemin, laying out the cancellation, Mr. Barak expressed the hope that there might be room for future cooperation, an Israeli official said today.
"There is clearly room for bipartisan cooperation," she said, adding that Mr. Bush appeared to be looking "more at the tax code" as a way of lifting the economy while her package would provide a mix of spending increases and tax relief.
