Home Postcode finder SA Palmer Palmer postcode SA Palmer is a locality in South Australia covered by postcode 5237. Postcode 5237 State or territory South Australia (SA) Region Sa Subs Near 2 Add a free Palmer business listing More business listings in Palmer Businesses in PalmerPalmer Primary School26 Main St · 08 85694050 Common questionsWhat is the postcode for Palmer?Palmer, SA has the postcode 5237.What state is Palmer in?Palmer is in South Australia (SA).Does postcode 5237 cover more than one suburb?Yes. Postcode 5237 covers 4 localities, so the postcode alone does not identify Palmer. Browse other postcodes in South Australia, or widen the search to every Australian postcode.