Career
Club
= Early career Zenjov made his first-team debut for Vaprus at the age of 16 in 2006. A year later he joined TVMK. Zenjov was named the Meistriliiga Young Player of the Season in 2007. At the age of 18, after two seasons at TVMK, Zenjov moved abroad.
= Karpaty Lviv In February 2008, he signed a three-year contract with Ukrainian Premier League club Karpaty Lviv.
On 25 February, he scored his first career hat-trick in his first game for Karpaty Lviv, a friendly against Horsens. He scored his first Ukrainian Premier League goal on 28 July, in the 57th minute of a 1–1 draw against Shakhtar Donetsk.
He only started ten games (one in the Cup competition), but by the mid-season of his second year in the club he played in 27 games overall. = Blackpool On 3 July 2014, Zenjov signed a one-year deal with English Championship club Blackpool.
He made his debut for the club on 9 August, starting in a 0–2 defeat at Nottingham Forest.
On 2 December, Zenjov left Blackpool after the mutual agreement was reached to terminate his contract. = Torpedo Moscow After leaving Blackpool, Zenjov signed a contract with Russian Premier League club Torpedo Moscow till the summer of 2017. = Gabala After just 6-months and 10 games with Torpedo Moscow, Zenjov signed a two-year contract with Azerbaijan Premier League club Gabala on 16 June 2015.
During Gabala"s 1-2 defeat to Qarabağ on 19 March 2016, Zenjov scored Gabala"s 500th goal.
International
Zenjov has been capped by Estonia 48 times, scoring 9 goals. He made his debut on 20 August 2008 against Malta national football team in a friendly match.
His first goal was on 6 September 2008, in the 57th minute of a 2–3 loss to Belgium in a 2010 World Cup qualification match. On 14 June 2015, he scored his first brace in a Union of European Football Associations Euro 2016 qualifying match, netting in each half of a 2–0 home victory over San Marino.