Your pet is part of your family, so you will be sharing the adventure of your expatriation in Switzerland altogether! The household companion travels accompanied with its owner. If it is an unaccompanied entry (ex air freight), different rules and higher costs apply. Your moving company may take care of the relocation of the pet. Depending on the kind, the age and the origin country, the process of importation varies as per the link here below: https://www.blv.admin.ch/blv/en