Fiesta Mexicana Cary was the first restaurant opened by the owners of Fiesta Mexicana restaurant is located in the Swift Creek Shopping Center off of Tryon Road in Cary and is managed by Mr. Ramiro. Its official address is Raleigh but make no mistake that this restaurant resides in Cary. Mr. Ramiro’s attention to detail, cleanliness, and food quality makes this an above-average restaurant.