The etiquette is the same everywhere in Switzerland, regardless of which of the country's language regions you're in: keep the dog on a short leash, positioned beside or under the table rather than wandering, and never on a chair or the table itself.
How do you ask if your dog can come in, in Switzerland?
Because Switzerland has four national languages, it's genuinely useful to know the question in more than one. In German-speaking areas, ask 'Darf der Hund mit rein?' In French-speaking areas, 'Le chien peut-il venir?' And in Italian-speaking Ticino, the same phrase used across the border in Italy works fine: 'Il cane può venire?'
Should you bring a mat for your dog?
If the answer is yes, bringing a small travel mat or blanket for the dog to settle on is a small touch that Swiss staff — and other diners — tend to appreciate, especially on a stone terrace floor.

