In the 2011 League Cup Final defeat to Old Firm rivals Rangers, Izaguirre was sent off in extra time for a foul on Vladimír Weiss. On 6 April 2011, he had another man of the match performance against Hibernian in a 3–1 victory, setting up Stokes for the first goal of the game. In the 2010–11 SPL season, Izaguirre achieved a clean sweep of available senior player awards as chosen by players, organisations and the Celtic supporters. Izaguirre won both the SPFA Players' Player of the Year and Scottish Premier League Player of the Year awards for 2010–11. The judging panel for the latter award described Izaguirre as a "class act", while Celtic assistant manager Johan Mjallby commented that Izaguirre could become one of the best players in his position in world football. On 8 May, at Celtic's award ceremony, Izaguirre picked up the Players' Player of the Year Award. Finally, he was voted Scottish Football Writers player of the year.