"Bazzle" is the traditional English pronunciation. The traditional Greek name is Basilios. If you meet any man in America from a Greek family named Bill, you can bet that his birth name is Basil or Basilios. Greeks pronounce B (beta) more like a really soft v. My son is Basil. I call him Baz.
Basil, as in the plant, can either be pronounced bay-zill or bazzle, but the name Basil is almost always pronounced bazzle. An exception seems to be the German guitarist Basil Wahn, who pronounces his name bay-zill.
― Anonymous User 1/21/2022, edited 6/18/2023
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In the United States, Basil is generally pronounced BAY-zul.