pizza parlor vs pizza shop

pizza parlor and pizza shop both are nouns.

Word	Noun	Adjective	Verb	Adverb
pizza parlor	Yes	No	No	No
pizza shop	Yes	No	No	No

As nouns, pizza parlor and pizza shop are synonyms defined as:

Other synonyms of pizza parlor include pizzeria.

pizza parlor (noun)	pizza shop (noun)
a shop where pizzas are made and sold	a shop where pizzas are made and sold