Time: 9 a.m. to 12 p.m. Recurring weekly on Sunday. This free event is hosted by Las Esperanzas, Inc., Mesquite Street Peoples Market is a food-focused event at Klein Park in Las Cruces, New Mexico. Dedicated to celebrating local flavor and culture, the market brings together farmers, chefs, and culinary artisans. Mesquite People’s Market requires vendors to sell only food products or produce –– no arts and crafts.