FDA says nope
The plant management shall take all reasonable measures and precautions to ensure the following:
(4) Removing all unsecured jewelry and other objects that might fall into food, equipment, or containers, and removing hand jewelry that cannot be adequately sanitized during periods in which food is manipulated by hand. If such hand jewelry cannot be removed, it may be covered by material which can be maintained in an intact, clean, and sanitary condition and which effectively protects against the contamination by these objects of the food, food-contact surfaces, or food-packaging materials.
Ditto USDA
https://www.ams.usda...anitationHB.pdf
b. Clothing and Personal Equipment. All persons handling commodities, ingredients, or their contact surfaces must wear clean outer garments. All persons must wear caps, hats, hairnets, or other effective hair restraints (including facial hair restraints) where exposed product is handled to prevent hair from falling into product. All loose or insecure jewelry, such as rings, wrist watches, etc., that might serve as a source of product contamination during work periods in which food or food components are manipulated by hand must be removed. Plastic or rubber gloves should be worn by all personnel who touch or manipulate processed food products by hand. If gloves are used in food handling, they should be maintained in a clean and sanitary condition. Such gloves should be of an impermeable material except where their usage would be inappropriate or incompatible with the work involved
https://www.fsis.usd...ompliance-guide
ngernails
2-302.11 Maintenance.
- Food employees shall keep their fingernails trimmed, filed, and maintained so the edges and surfaces are cleanable and not rough.
- Unless wearing intact gloves in good repair, a food employee may not wear fingernail polish or artificial fingernails when working with exposed food.
Jewelry
2-303.11 Prohibition.
While preparing food, food employees may not wear jewelry on their arms and hands. This section does not apply to a plain ring such as a wedding band.
Unless your product is one where the outside is NOT considered food, I think your senior management is pushing the boundaries significantly on this one