Career
He currently plays as a goalkeeper. Born in Varna, Slavov started his career as a 10-year-old at his hometown club, Spartak Varna. He was promoted from their youth team in June 2000.
After two seasons as a third-choice keeper, behind Krasimir Kolev and Georgi Arnaudov, he made his debut during the 2002-2003 season on April 12, 2003 in a 0–3 home loss against Slavia Sofia, coming on as a substitute for Kolev.
Since his debut, Slavov has established himself as Spartak"s first-choice goalkeeper. In June 2003 Genko was snatched up by Bulgarian giants CSKA Sofia for a fee of a reported €50,000.
In Sofia he was the fourth-choice keeper and earned just one appearance. Slavov"s only league appearance of that season came in a 0–3 away loss against Cherno More Varna on May 8, 2004.
Following Slavov"s release from CSKA he returned to Spartak Varna after signing a three-year contract in June 2004.