There is close collaboration between DIMDI and Austria and Switzerland. E.g. the German language edition of ICD-10, ICD-10-WHO, was published as a common edition of these three countries agreed upon in several editorial meetings.
In addition to ICD-10-WHO the German Modification ICD-10-GM is used in Switzerland. ICD-10-GM has been adopted as it stands for the Reimbursement System for Hospitals in Switzerland, SwissDRG, and translated in French and Italian. The German versions you will find in Downloads classifications. The French and the Italian versions you will find on the website of "Bundesamt für Statistik" of Switzerland.