In the only human test, six weeks of 600 mg a day was followed by parasites clearing in most. Nobody went without the oil, so the test cannot show the oil did it.
In the only trial of oregano oil for gut parasites, nobody went untreated, and parasites can come and go in stool on their own, so their clearing may not be the oil's doing. Two of the three parasites were found in 4 people and 1 person. No trial with a placebo group has followed in the 25 years since, and none is registered.