The agency is testing for Naegleria (nee-GLEHR'-yah) fowleri (FOW'-lur-eye), colloquially known as a "brain-eating amoeba".
Mr Parsons said Mr Stabile had been in the park's wave pool.
Stabile was immediately rushed to the hospital in Pleasantville, New Jersey, where doctors first believed his brain swelling and fever symptoms were caused by bacterial meningitis.
The infection, which can cause a deadly infection called primary amoebic meningoencephalitis, usually occurs when contaminated water enters a person's nose, the CDC said.
The amoeba is typically found in fresh water, especially warmer water such as lakes, rivers and hot springs.
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Naegleria fowleri infections are rare.
The Waco McLennan County Public Health District said that the CDC tested water at BSR and that results from the test would come out later this week.
BSR Cable Park owner Stuart E. Parsons Jr. said it will continue to comply with requests related to the investigation of Fabrizio Stabile's death.
He said the surf resort, which operates an artificial man-made wave, is in compliance with the CDC's "guidelines and recommendations concerning Naegleria fowleri".
According to the CDC, there have only been 143 diagnosed cases of the parasite in the 56 years since it was discovered.
Stabille's cerebrospinal fluid tested positive for the infection, but it was too late to administer the drug, according to the GoFundMe Page.