He signed for Cruz Azul on November 26, 2010 to play for the club starting in the Clausura 2011 in the Primera División de México. Cruz Azul paid him $3 million that season.
In 2013, he played for Deportivo Cali of Colombia, and later in Chile for Cobreloa.[1][2] In 2014 he came back to South Korea, and began playing for Jeju United, where he played 36 matches and scored 10 goals.[3]
On 23 December 2014, he returned to Chile, joining Santiago club O'Higgins for the 2014–15 season.[4]
In March 2022, Droguett announced his retirement from football after having played for Deportes Temuco in 2021.[5]
On November 15, 2006, Droguett made his debut with the national team in a friendly versus Paraguay. He scored a goal against Austria in a friendly match played in the Ernst Happel Stadion.