The Russ Hill Hotel Gatwick runs a shuttle service between Gatwick Airport’s North and South Terminals and the hotel. Therefore, after having arrived at the airport, all you need to do is simply hop on board the airport shuttle, which can be found at the Courtesy Bus collection points just after Arrivals.
If you are arriving at Gatwick Airport by train (the train station at Gatwick Airport is located at the South Terminal) head towards the exit of the terminal and follow signs for the Courtesy Bus / Hotel Shuttle point. Shuttles to and from the Russ Hill Hotel and the airport run hourly throughout most of the day. Arrangements can be made to get the shuttle from the hotel to the airport. Simply mention the time you will require the shuttle when you check in.