Once you are at Jackson Hole Airport and you already pass the security checkpoints, it is easy to get around, as there is no more than one terminal. However, there are a few options that you try to move around.
Jackson Hole Shuttle provides transfer services at Jackson Hole Airport. However, be aware that these buses are outside of the secure area, passengers will have to clear security checkpoints one more time in your terminal to get to your flight.
It is also practicable to walk to get to the terminal, but keep in mind, and you must plan accordingly and use time efficiently to get to your flight on time. Worth to mention that the view is beautiful there and one can enjoy walking here, as it is located in National Park.