Only where the complete coat's care instructions permit it. Detachable fur-like trim, belts, electronics or protective inserts can have separate restrictions.
Understanding this situation
Removing one part does not automatically make all remaining layers tumble safe. The filling, shell and decoration may require a specific process or prohibit machine drying altogether.
A useful next step
Follow the maker's preparation and drying instructions before loading. If a component is missing or damaged afterwards, stop further appliance use if a new noise or debris appears. Do not probe concealed dryer spaces to retrieve accessories.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.