Are alternative dietary anti-parasitic cleanses safe?

Altmedicine.about: Garlic is a well known natural anti parasitic, golden seal, black walnut, wormwood, or seed, pumpkin seeds, grapefruit seeds, anise, cloves, gentian, neem, olive leaf, oregano, propolis, thyme, barberry, oregon grape... http://altmedicine.about.com/cs/conditionsitoq/a/parasites.htm.

Depends what : You mean safe. Normally, the anti-parasitic diets are safe to consume, but not safe as an absolute cure for parasites. If you do have any one of most types of parasites, you will want to use the diet as adjunct therapy to anti-parasitic medications.