Obama is trying to build an international military coalition to combat Islamic State terrorists in both Iraq and Syria, but has repeatedly ruled out sending in ground troops, which could prove highly unpopular both at home and abroad.
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"My concern, in this issue of no troops on the ground, is that you should not announce beforehand what you are not going to allow yourself to do," said Al Saud. "I think we've seen examples of that not just from the United States, but other countries as well."
Al Saud described Saudi Arabia and the U.S. as "good friends"—and added that the Middle Eastern theocracy was not reliant on U.S. demand for its oil.
"There is talk about America no longer depending on oil from the Middle East. The position of Saudi is that's fine," he told CNBC.
"The world requirement for fossil fuels is growing and so if America can take care of herself, we can provide what is necessary for the rest of the world."
He added: "I cannot foresee a time when America will withdraw strategically from the Middle East."
—Written by Katy Barnato; Reported by Hadley Gamble.
Correction: This story has been amended to reflect that the Islamic State has beheaded three Western captives—two Americans and one Briton.