Career
Early career
Born in Plovdiv, Terziev began his career at the Spartak Plovdiv academy but moved to Botev Plovdiv along with Lazar Marin, Lachezar Angelov and Rosen Andonov in January 2012. After joining Botev, he spent two seasons on loan in Rakovski. Botev Plovdiv
= 2014-2015 Foreign season 2014-2015 the new manager of the team Lyuboslav Penev called him back to team
He has included in the starting lineup for the first time in A Grupa agaist Slavia Sofia.
A week later he played again 90 minutes and made a solid performance during the 1-0 loss form Ludogorets Razgrad. On 22 March, he came on as a substitute during the 0-0 draw with Ludogorets Razgrad.
On 18 April Terziev played well during the 1-1 draw with Beroe Stara Zagora. Terziev played 90 minutes in the next round of A Grupa, on 23 May, during the 1-2 away defeat from Beroe Stara Zagora.
A week later he was in the starting lineup for the last game of the season, 0-2 defeat from Lokomotiv Sofia.
= 2015-2016 A week later he replaced Daniel Zlatkov in the starting lineup and played 90 minutes during 0-1 defeat from Slavia Sofia. On 22 August Terziev came on as a substitute during the last minutes of the goalless draw with Beroe Stara Zagora. On 30 October Radoslav Terziev was in the starting lineup for the 2-0 away defeat from Slavia Sofia.
Radoslav Terziev was in the starting lineup and performed well during the goalless draw with Levski Sofia on 5th December 2015.
Under 21
As one of the most promising defenders Terziev has received call-ups for the Bulgarian U19 and U21 national football teams. On 31 March 2015 he participated in the 1-3 away defeat of Bulgaria U21 from Wales U21.
He played 90 minutes in both games. Five days later, on 14 October, Terziev was again in the starting lineup but this time he and his teammates were defeated with 0-1 by Denmark U21.
On 25 March 2016 Terziev was in the starting lineup for the goalless draw with Wales U21.
Senior
In late January 2015, Terziev received his first call-up to the full national side by new manager Ivaylo Petev for a friendly match against Romania but he remained an unused substitute in this game.