stage left vs left stage

stage left and left stage both are nouns.

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

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

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

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