Lyric discussion by warmPhase 

Cover art for Treaty lyrics by Leonard Cohen

I'm confident that "aerial" in this sense is a metaphor that goes along with the reference to "static" (signal interference of electromagnetic waves). In the US, we would almost always call it an "antenna", but it is "aerial" to many, if not most, other English-speaking locales. Whomever is being referenced is, obviously, someone who helps the speaker to hear invisible signals more clearly.