Public transport: The most sustainable travel option is by train to Hermagor (coming from Villach). From Hermagor you can then reach the town of Jenig by bus towards Kötschach-Mauthen.
Similarly, from Kötschach-Mauthen you can reach Jenig by bus towards Hermagor.
From there, it is about 4 km uphill to the Berghotel Presslauer (the start point of the toboggan run).
Details at - Nassfeld mobility information and Kärntner Linien route planner
Arrival by car:
Coming from Hermagor or Kötschach-Mauthen via the B111 (Gailtal Road) to Jenig. Here, turn onto the Guggenberg state road towards Kreuth ob Rattendorf.