The generation of WEEE is growing rapidly worldwide, and instead of stopping, it aims to update new products for the market. Hence, the importance of recovering the precious metals contained in the circuit connectors is significant. The metal extraction techniques reviewed for this article are hydrometallurgy and pyrometallurgy, which have become global options for reusing gold, silver, and copper. The present research work focused on comparing the two mentioned processes to determine which one best suits emerging economies in terms of extractive efficiency, environmental impact, operating costs, initial investment, energy requirements, waste management, economic adaptability, and process times. A bibliographic search was conducted on scientific articles from databases such as Scopus, Latindex, and Springer, primarily from the last ten years. This was followed by the application of a simple decision matrix and criteria from a panel of experts. The analysis of this qualitative-quantitative tool determined that the most suitable process for emerging economies is hydro-metallurgy, due to its intrinsic characteristics that are well-suited to the realities of these types of economies.