Zapata's RestaurantsFamily Restaurants Zapata's Visit Website 1362 Sheridan Avenue Cody, WY 82414 (307) 527-7181 About Map About Open for lunch and dinner. Our menu offers a variety of Mexican favorites, Ala Carte, Side Kicks, Specials, Combination Plates, Food for the Bambinos, Margaritas, and More! What's Nearby? Distance: 5 10 15 20 25 50 mi.