On 13 January 2021, Puig scored the winning penalty in the penalty shootout (Barcelona won 3–2) after being held at 1–1 at the end of extra time by Real Sociedad in the Supercopa de España semi-final. On 24 January 2021, Puig scored his first goal for the first team in a 2–0 away win in La Liga against Elche, when he headed in Barcelona's second goal from a Frenkie de Jong assist.