The Russian economy is heavily reliant on gas revenue, which could help Europe reverse the power dynamic. "If Ukraine and other countries dependent on Russia can wean themselves away, they will be emboldened to seek other [nat gas] sources, and that would be the U.S.," he added.
Still, the U.S. has a queue of 20 companies waiting for the federal government to approve LNG export facilities. The Department of Energy has approved four new terminals in the past year, a pace some industry participants consider too slow.
The primary market for U.S. nat gas is made up of countries that have free trade agreements with the U.S.—something Ukraine and other European countries currently lack, although consulting firm Ernst & Young points out that the DOE has "greater latitude" in deciding whether to approve exports to non-free-trade countries.
As it stands, approximately 80 percent of the LNG exports coming online in the next few years are committed to Asia, currently the largest market for U.S. nat gas producers.
The stagnant Ukraine economy has made it hard pressed to pay back the whopping $2 billion it owes Gazprom, the natural gas giant that's controlled by Russia's government. It also makes it hard for U.S. companies to see the country as a worthwhile investment, noted Kartik Misra, senior analyst at Energy Intelligence.
(Read more: Booming US energy sector feeds manufacturing, may overtake it)
"The problem is Ukraine doesn't have the ability to pay for this gas," Misra said, adding that Kiev "has been historically bad about paying gas debts. Even if we could ship this gas to Ukraine, they don't have the ability to pay for it."
Most U.S. LNG exports won't come online until 2016 at the earliest, Misra said, which is likely to be too late to resolve the Ukrainian crisis.
"The timing is instrumental in this argument," he said. "U.S. exports are not necessarily going to be helpful to Ukraine."
—By CNBC's Javier E. David. Follow him on Twitter