No, you should not apply permethrin to your private parts. Permethrin is a pesticide that is used to treat scabies and lice infestations, and it is typically applied to the skin on areas such as the scalp, neck, face, and torso. It is not recommended to apply permethrin to the genital area or mucous membranes such as the inside of the mouth or nose, as it can cause irritation, burning, or other adverse effects.
If you have a scabies or lice infestation on or around your private parts, you should seek medical advice from a healthcare provider. They can recommend the appropriate treatment and provide guidance on how to use it safely and effectively.