As I understand it "hard power" is military coercion and "soft power" is the influence of culture, values, policies, and behavior.
Showcasing is really just advertising, so it would be possible to showcase soft power as propaganda and actually possess little of it. This of course would have a negative effect at home and abroad.
On the other hand, if you actually have soft power and you showcase it, this serves to magnify its effect both at home and in the international community. The author believes that learning to demonstrate soft power to the world (Learning to showcase) will influence the country internally: it WILL not be impatient and impetuous or eager for instant success and benefit. This country is clearly thinking about the future.
I don’t have any objection to the use of showcase as a verb here. In the West advertising is almost a way of life so we are conditioned to expect a bit of boasting. The only way to develop an immunity to the negative effects of national boasting is to understand it when it happens.
You, Joseph, are a naturally modest person and of course object to boasting. Maybe this sounds better:
A country that manifests its soft power to the international community is not impatient and impetuous or eager for instant success or benefit.
-to manifest… show plainly, prove, demonsrate