Writing for laut.de, Dani Fromm wrote that My Name Is Luca was a hastily assembled DSDS compilation lacking any distinct artistic profile, stating: "No edges, no corners, no vocal volume. Nothing!" She emphasized its immediate forgettability and criticized Dieter Bohlen's formulaic production and clichéd lyrics, concluding: "No charisma, no unique selling point. Nothing!"
Commercial performance
The album achieved strong commercial success in German-speaking Europe. It reached number one in both Austria and Switzerland, while peaking at number two on the German Albums Chart. In year-end rankings, it placed at number 37 in Austria, number 69 in Germany, and number 26 in Switzerland. The record was certified Gold in both Austria (10,000 units) and Switzerland (15,000 units).