Zermatt is car-free. You can park your car at Täsch. It only takes 12 minutes by train or taxi to get to Zermatt.
Please follow this link https://swissplf.admin.ch/home for the electronic entry form if you are arriving from abroad.
When you arrive or depart you can enjoy a ride on Tradition Julen’s own electro cart which will pick you up and drop you off at the train station or taxi stand – regardless of what time.