stage right vs right stage

stage right and right stage both are nouns.

Word	Noun	Adjective	Verb	Adverb
stage right	Yes	No	No	No
right stage	Yes	No	No	No

As nouns, stage right and right stage are synonyms defined as:

stage right and right stage: the part of the stage on the actor's right as the actor faces the audience

stage right (noun)	right stage (noun)
the part of the stage on the actor's right as the actor faces the audience	the part of the stage on the actor's right as the actor faces the audience