With friends, family, and people in general, we are typically considered by ourselves and others to be either open or closed.
As such, dreaming of a zipper may represent the relationships we have and how we interact at an interpersonal level.
The zipper may be an indication that we are competent in engaging with others, or that we may in fact find such interactions quite difficult.
Obviously of much relevance here is to whom you feel the association of the zipper reflects in your social circles.
Also this on Dream…
If the dream highlights a zipper as being stuck or unbending, this can reflect one’s anxiousness, embarrassment, or shame in situations whereby you perceive your interaction with another as uncomfortable and/or difficult.
As such, when these circumstances arise in real life, dreaming of a stuck zipper is indicative that you unlikely “escape” with your dignity intact.