Don't be afraid to ask operators questions, he said.
And if you don't like their answers, he said, "you have the right to say, 'I choose now not to ride.'"
Six Flags Chairman and CEO Jim Reid-Anderson hosted a quarterly earnings call Monday from the Texas theme park, expressing sympathy to Esparza's family.
"We've been here through the weekend to support our team as we work through this tragic event," he said.
Six Flags said it has not experienced a dip in attendance at any of its parks since Friday's incident, but that could change.
"There is a lag in reaction time after an accident, and there could be a short- to medium-term attendance impact at the affected park," Reid-Anderson said during Monday's call.
Reid-Anderson told investors that the ride would remain closed until the investigation is complete.
"You can rest assured that it will remain closed until we are certain it is safe to ride," he said.