Chinese parsley vs herb

Chinese parsley and herb both are nouns.

Word	Noun	Adjective	Verb	Adverb
Chinese parsley	Yes	No	No	No
herb	Yes	No	No	No

As nouns, herb is a hypernym of Chinese parsley; that is, herb is a word with a broader meaning than Chinese parsley:

As nouns, herb is a hypernym of Chinese parsley; that is, herb is a word with a broader meaning than Chinese parsley:

Chinese parsley: Old World herb with aromatic leaves and seed resembling parsley
herb: a plant lacking a permanent woody stem; many are flowering garden plants or potherbs; some having medicinal properties; some are pests

Other hypernyms of Chinese parsley include herbaceous plant.

Chinese parsley (noun)	herb (noun)
parsley-like herb used as seasoning or garnish	aromatic potherb used in cookery for its savory qualities
Old World herb with aromatic leaves and seed resembling parsley	a plant lacking a permanent woody stem; many are flowering garden plants or potherbs; some having medicinal properties; some are pests