Copper-catalyzed decarboxylative reactions of propargylic cyclic carbonates/carbamates enable the efficient construction of widely available skeletons such as allenes, ethynyl-containing heterocycles, and tetrasubstituted stereogenic carbon centers. As an emerging field, these strategies have gained great attention and shown significant progress due to the presence of multiple electrophilic and nucleophilic reaction sites of propargylic cyclic carbonates/carbamates, as well as the distinct advantages of copper catalysis such as higher selectivity, low cost, and mild reaction conditions. In this review, the achievements in copper-catalyzed decarboxylative reactions of propargylic cyclic carbonates/carbamates are addressed. Mechanistic insights, synthetic applications, and their limitations are discussed. The challenges and opportunities of this field are also outlined.