On 30 September 2010, Lazović scored a double against AEK Athens in the Europa League at the Petrovsky Stadium. He scored from the penalty spot in the 43rd minute, beating AEK goalkeeper Giannis Arabatzis then added his second in the 57th minute, poking home a cross from Vladimir Bystrov. On 14 November 2010, he scored the Championship-winning goal against Rostov in the 40th minute, helping Zenit win its second Russian Premier League title in four years. Lazović finished the season with five goals in the Russian Premier League and seven in total. He tied with Georgi Peev of Amkar Perm for second-best assistant in the RPL with seven assists.