The easiest way to get there is by taxi (website) If you prefer public transport, take the bus that goes on route number 260 from Salzburg airport to Zell am See , where you will have to take bus 680 which will take you to Hinterglemm

The links with the timetable for these routes can be found here and here.

Direct message from Salzburg - Saalbach - Hinterglemm no

I can highlight the most convenient options:

1) from the airport of Salzburg send There is a bus to Maishofen Abzw Glemmtal, then transfer to another bus to Saalbach Schattberg X-Press and from there you can take a taxi to the hotel. All take about 2 hours (without taking the time by taxi).

2) from Salzburg airport you can take a taxi to Salzburg Hbf station, from there take the train to Zell am See, two minutes walk there will be a bus park - you need take the bus to Saalbach Schattberg X-Press and from there take a taxi to the right hotel. All let take about 3 hours (without taking into account the time by taxi).

Also I can advise the site where the routes are calculated taking into account the railway crossing, buses, and the necessary time.