No, glutathonie does not kill parasites. Glutahione is the foundation for your immune system though.
Also, you cannot eat glutathione to get glutathione into your body, it doesn't work like that. (Read the book "Glutathione (GSH): Your body's most powerful healing agent" by Jimmy Gutman)
You have to eat un-denatured whey protein, a product like Immunocal (or HMS 90).
From experience, raising your immune system (and glutathione) will help you for a bit, but eventually it just means that parasites will have more (and better!) food to eat, so they will overtake your body unless you get to the core of the problem. YOUR DIET.