Possible Nose Job for an Asian with a flat nose?

While functional aspects of the surgery may be covered partially by insurance, typically for surgery will not address allergic nasal obstruction.  With regards to your cosmetic concerns of having a low, flat nose, the safest and most beautiful results are possible using tissue and grafts from your own body.  Achieving the best results in Asian rhinoplasty requires meticulous surgical technique in synergy with a keen aesthetic eye.  

Allergies are treated with medications which are available over-the-counter, such as Flonase and Claritin. It is always best to get your allergies under control prior to elective cosmetic surgery. Medical insurance will not pay for a nose job, since there is no medical necessity. It is important not to perform functional nasal surgery for allergies. To build up a flat bridge requires patient's own cartilage harvested from inside the nose, fashioning the graft, and inserting along the bridge line

Your best bet would be to have an in person evaluation with a board certified facial plastic surgeon with expertise in Asian rhinoplasty and functional rhinoplasty. If there are structural issues that affect your breathing, you insurance may cover some of your costs.