Career
Drost began his career with DOS Kampen and later joined the youth of Go Ahead Eagles from Deventer. He played some years with the youth from Go Ahead Eagles before being scouted in 2001 by South Carolina Heerenveen. After three years in the youth academy of South Carolina Heerenveen, he was promoted to the first team in 2004.
Drost moved on loan to North.E.C. in January 2008.
After a half year and five league matches with Nippon Electric Corporation, he returned to Heerenveen, and was once again loaned out, this time to Vitesse in July 2008. Vitesse eventually decided to sign Drost, and he received a four-year contract lasting until mid-2013.
Drost represented his homeland in at the 2005 Fédération internationale de football association World Youth Championship in the Netherlands.