Narracott had been based in Bath, UK, preparing for the northern hemisphere winter, and only returned to the skeleton track a week prior to the World Cup.
It was a PB result for Narracott on the Innsbruck track, easily eclipsing her previous best 15th in January 2020.
Narracott was in ninth position after the first run, but improved in the second round with the sixth fastest run, giving her an overall placing of eighth.
The event was won by Austrian Janine Flock, with Kimberly Bos of the Netherlands in second and German Jacqueline Loelling in third.
The next World Cup on the IBSF Skelton tour will be in Winterberg, Germany, on January 8.