On 2 August 2015, Zouma was a 69th-minute substitute for César Azpilicueta as Chelsea lost 1–0 to rivals Arsenal in the Community Shield. Starting ahead of John Terry, he scored his first Premier League goal on 19 September, heading in Cesc Fàbregas' cross to open a 2–0 home win over the same opposition. On 24 November, as a late substitute for the injured Terry, he scored his first European goal to conclude a 4–0 win at Maccabi Tel Aviv in the Champions League group stage.