Courthouses in Zapata, Texas, the US. Courthouses locations in Zapata, Texas. Find the nearest courthouses locations, near you. All types of business services Accounting ATM Bank Courthouse Finance Insurance Lawyer Real estate School Travel All courthouses in Zapata Zapata County District Judge Courthouse +1 956-765-9935 201 East 6th Avenue #330, Zapata, Texas 78076 Write a review Phone Website Directions Zapata County Judge Courthouse +1 956-765-9920 200 7th Avenue #115, Zapata, Texas 78076 Write a review Phone Website Directions