He said WTI prices most likely bottomed in the high $40 range earlier this year. Souki's comments come in contrast to what a number other experts have said.
Last week, Rob Sechan, an institutional consultant at UBS, said he doesn't think oil has bottomed, but it's stabilized.
Read MoreThis is a critical time for crude: Technician
However, Souki said the outlook for Brent prices aren't as cut and dry. It depends on "whether we're going to eliminate the ban on exports or not…. The world is different without the United States," Souki said.
Pioneer Natural Resources CEO Scott Sheffield expressed similar sentiments on earlier this week. In an interview with CNBC's "Power Lunch" on Tuesday, Sheffield said there was a 40 to 50 percent chance that the U.S. would lift its 40-year ban on crude exports this year.
Read MoreThe next N.American energy boom
LNG has been one of the few growth stories in the embattled global energy market, capped off by Shell's recent agreement to acquire BG.
Based in Houston, Cheniere Energy is on the verge of beginning the first exports of liquefied natural gas from the U.S. mainland later this year. The company has two liquefaction projects underway and it sees itself producing some 40 million tons of energy a year by the end of the decade.
Souki says the company is positioned to become one of the world's leading LNG exporters, likely to represent about 10 percent of global market by 2020.