Is parrot a common noun or proper noun?

The noun parrot is a common noun, a general Word for any parrot.

A proper noun is the name or title of a specific person, place, thing, or a title. For example:

• Parrot Cay, a private island resort in the Turks & Caicos.
• The Silver Parrot Jewelry Boutique in Alexandria VA.
• The documentary film 'The Wild Parrots of Telegraph Hill' (Excellent film, I recommend it)
• Pol Parrot children's shoes