Servet Çetin joined Kartalspor in 1990 after the club manager called his house looking for his older brother İrfan who was playing as a midfielder for the club at the time. Servet informed the club's manager that his older brother was not home and would not be returning until later that evening. The club's manager, in a bind to find players for the match later that day, questioned Servet's interest in football and upon learning that he was interested, Servet was invited to join the club as an amateur player and played in the match later that day as a right fullback.
Servet was signed onto professional terms at the start of the 1999–2000 season.
He was signed by Rıza Çalımbay for Denizlispor at the start of the 2002–03 season in a deal which also involved Ersen Martin and Mustafa Özkan. Despite missing out on the UEFA Cup with Göztepe, Servet got a chance to play European football at his new club as Denizlispor. He was an integral part of the team which eliminated Lorient, Sparta Prague and Lyon in the first, second and third rounds of the competition respectively. In the fourth round, Denizlispor lost to the eventual winners – José Mourinho's Porto.
Servet had become a household name in Turkish football with his performances for Denizlispor in the league as well as for the Turkish U21 National Team.