parson vs man of the cloth

parson and man of the cloth both are nouns.

Word	Noun	Adjective	Verb	Adverb
parson	Yes	No	No	No
man of the cloth	Yes	No	No	No

As nouns, man of the cloth is a hypernym of parson; that is, man of the cloth is a word with a broader meaning than parson:

parson: a person authorized to conduct religious worship
man of the cloth: a member of the clergy and a spiritual leader of the Christian Church

Other hypernyms of parson include clergyman, reverend.

parson (noun)	man of the cloth (noun)
a person authorized to conduct religious worship	a member of the clergy and a spiritual leader of the Christian Church