Native to northern Mexico, G. paraguayense inhabits rocky limestone slopes. It exhibits a cespitose, ascending branching habit and is a polycarpic species. Unique within its genus, it features thick, nearly opaque leaves covered by a waxy bloom minimizing water loss. Leaves spatulate, 3-5 cm long, arranged in tight rosettes; gray-blue coloration with violet hues under drought or cold stress.
Full direct sunlight exposure; irrigation limited from autumn to spring; substrate with at least 70% draining mineral content; minimum temperature 5°C; prone to root rot if waterlogged.