Liquefaction trains turn natural gas into LNG in order to prepare for export.
"Once the Freeport trains are back online, we are the world's largest exporter of LNG," LaRose said during a panel discussion hosted by the Wilson Center on Wednesday.
LaRose pointed out, however, that there are capacity constraints in the United States, which causes major limitations to US export capabilities.
The company's LNG export facility in Texas was knocked offline last June due to a fire.
US media reported earlier on Wednesday that the amount of natural gas flowing to Freeport's LNG export facility in Texas was on track to hit its highest level since shutting down last month.
The report said the increase in gas flow to the plant likely signals that the company has started the third of three liquefaction trains at the facility.