Krivets scored BATE Borisov's (and a Belarusian side's) first ever Champions League group stage goal against Juventus on 30 September 2008, having been set up by teammate Igor Stasevich.

On 9 July 2012, Krivets was transferred to Chinese club Jiangsu Sainty on a deal until the end of 2015.

[3] Krivets joined Dynamo Brest in June 2018, putting pet to paper on a contract for two and a half years.

[4] On 6 February 2021, he returned to Lech to join the reserves team, with the aim of mentoring youth players.

[8] Krivets made his debut for the national team on 2 February 2008, in a 2–0 win over Iceland as part of the 2008 Malta International Football Tournament.