Zleep - Airport Hotel Copenhagen. A new budget hotel close to Copenhagen Airport and the City. Examination has proven, that a good nights sleep builds your memory and the ability to learn. That s why everybody goes "had a bad nights sleep?" when things doesn t always work out right!! Give yourself a head start - Get a good nights sleep. Zleep Airport Hotel - Cph is located next to exit 18 on motorway E20. Close to Taarnby Bus- and Train station. So whether you travel by plane, car, bus or train - Zleep Airport Hotel - Cph is an easy choice.