The 18-year-old had been studying engineering at Auckland University.
At the time of the accident, Mr Abzhanov was snowboarding in an area known as the Schuss about 1.30pm on July 12.
He fell after "negotiating the slope or while on the flat portion of this area", Coroner Scott said. No witnesses to the fall were found.
After the incident, Mr Abzhanov was unconscious but alive, and was flown to Waikato Hospital where he died the following day.
Mr Abzhanov was a Muslim and his family were opposed to a post mortem examination on religious grounds, which was agreed to.
A hospital doctor determined the cause of his death was from an acute subdural haematoma.
Coroner Scott said if a post mortem examination had been performed, Mr Abzhanov's blood would have been screened for alcohol and drugs.
"I am however, satisfied that as a Muslim, it would have been highly unlikely that Dastan would have taken either alcohol or common drugs and I therefore take the position that on the balance of probabilities he did not."
He said falls on the ski field were an "occupational hazard" that could happen with skiers and snowboarders of all levels of capability.