Born in
General Toshevo,
Dobrich Province, Genchev started playing with
PFC Dobrudzha Dobrich, switching to
PFC Litex Lovech in 1982 for another sole season. In the following year he established himself in the
Bulgarian A Football Group, with
FC Lokomotiv Gorna Oryahovitsa and
F.C. Etar, where he played three 1/2 and four 1/2 years respectively. After 22 league goals for Etar in two seasons combined, 27-year-old Genchev moved abroad, signing with
Sporting Clube de Portugal in the summer of 1991 alongside compatriot
Ivaylo Yordanov, who previously had succeeded him at Lokomotiv GO. Unlike the
forward, he had virtually no impact with the
Lisbon side, leaving after one
sole season and two
Primeira Liga matches. Genchev revived his career in England, where he played for
Ipswich Town and
Luton Town, his three years with the
Blues being spent in the
Premier League (with
relegation in the last one), where he netted a total of six times. He then signed for Luton Town, who were relegated from Division One in his first season there, and were beaten in the Division Two playoff semi-finals in his second season. In 1997, after five years in England, Genchev returned to his country, with
PFC CSKA Sofia, winning the top scorer accolade in
his debut campaign — although the club could only finish third – and the
Bulgarian Cup in his second. After that, he returned, at nearly 35, to England, playing non-league football for
Hendon FC and
Carshalton Athletic, and retiring three years after. Four years later, Genchev came out of retirement and rejoined Hendon, scoring his first goal in his second spell on 14 March 2007 against
Hayes FC, in the
Middlesex Senior Cup. He retired for good in the following year, later going on to work for Ipswich as an international ambassador. In 2016, Genchev become the new manager of
OFC Etar Veliko Tarnovo, but on 7 March of that year he was announced as chairman of the zonal council of the
Bulgarian Football Union in
the city. ==International career==