Innsbruck Airport Photos Get’s closed at night, not sure at what time. There is an upstairs outdoor level above the Departure doors. This is covered and will keep you dry unless it is really windy and raining. I slept there last night and no one bothered me. (Photo courtesy of a Guest Traveller / 30April2019) Hours are from 5:00 to 23:00. (Photo courtesy of a Guest Traveller / 02 May 2019) Click here to send us your airport photos.