Post Offices in Mesquite, Texas, United States SearchSearch SearchSearch View: Grid 1View: Grid 2View: Grid 3View: Grid 4View: Grid 5View: List Balch Springs Carrier Annex Post Office No Reviews Favorite Phone: (972) 288-4477Retail Hours Mesquite Post Office No Reviews Favorite Fax: (972) 216-9627Phone: (972) 288-4477Retail Hours North Mesquite Post Office No Reviews Favorite Fax: (972) 270-1032Phone: (972) 682-5617Retail Hours