He also says that next year's presidential elections will present Americans with the "most consequential electoral choice since the presidential ballot bore the names of Lincoln and Douglas."
In his new book "American Will: The Forgotten Choices that Changed Our Republic - And Offer Lessons For Its Future," Jindal offers 14 lessons from US' past and discusses how they can be used to restore American courage, faith, and wisdom.
According to Jindal, the role of the government in 2016 will be on the ballot; the role of the US in the world will also be on the ballot; and the role of religious faith in American society will be on the ballot.
"The product of (Thomas) Jefferson's vision for America was the peaceful purchase of half a continent. But what has been the product, in recent years, of the alternative vision of American leadership in the world," he asks.
state promised to lift sanctions without requiring Iran's America-hating theocracy to abandon its nuclear programme. And we've seen that product in Russia, where a 21st-century czar is gobbling up the territory of his neighbours because he neither fears nor respects American power."
According to 44-year-old Jindal, who decided not to bid for US presidency as "this is not my time," the US and its allies need a president "who does not apologise for American power."
"We need a leader who is not afraid to call radical Islam by its name. And we need a commander-in-chief who keeps his word, who negotiates from a position of strength, and who knows that we have never won a war against a murderous enemy by concession," he writes in the book, published by Simon & Schuster.
Jindal's exit leaves 14 Republicans in the nomination hunt, including real estate tycoon Donald Trump, retired neurosurgeon Ben Carson, Senator Marco Rubio and former Florida governor Jeb Bush.
"Americans will elect a new president in 2016. We will choose from candidates with different backgrounds, records, and ideologies. But there's one thing you can bet they'll all have in common: Every single one of them will praise, with great feeling and fervour, American freedom," says Jindal.
