A Zermatt chauffeur service is a pre-booked private car, at a fixed price in Swiss francs, that carries you from an airport or another town to the Matterhorn Terminal Täsch, the last point private vehicles may reach before car-free Zermatt. It is run by a Swiss-registered licensed chauffeur operator whose drivers hold the federal permit for professional passenger transport, shown as code 121 on the driving licence under Art. 25 VZV, with driving and rest hours recorded under the Chauffeurverordnung (ARV 2). The final 5 km into the village are by shuttle train, licensed Zermatt e-taxi or your hotel's own vehicle. Typical bookings are a Geneva airport transfer to Zermatt, a Zurich airport to Zermatt car service or a ski transfer for a family with kit.
What you are buying is the road from the runway to the valley, done by someone who drives it every week. The Zurich airport route may cross the Lötschberg on the car train or go the long way round through Lausanne when snow closes the shortcut; the Geneva route follows Lake Geneva and the Rhône. Either way the car-train fare, the vignette and 8.1 percent VAT are already inside the number you see.
Inside the valley the booking is just as fixed. A Zermatt car service covers runs between Täsch, Saas-Fee, Visp, Brig and Sion; an hourly chauffeur suits a day around the Valais resorts such as Crans-Montana; and a reserved car is the taxi alternative for anyone comparing a long airport taxi against a known fare. For companies sending teams to the mountains, group transportation keeps several vehicles on one dispatch plan, and city links run onward through Geneva and Zurich.