Historic Market Square is pet-friendly. Nearly every weekend of the year, Market Square is filled with live entertainment, delicious food, and fun for the whole family. Explore over 100 locally owned businesses that provide a unique market place experience within a three-block outdoor plaza lined with shops, and restaurants in downtown San Antonio, Texas. Market Square is the largest Mexican market in the United States. Dogs are welcome on a leash in the outdoor areas. They are open daily at 10am.