Born in Russia, Kalitvintsev became a naturalized Ukrainian after a spell with Dynamo Kyiv[3] and represented the Ukraine national team.

A Russian-born Kalitvintsev chose to play for the Ukraine side after breaking through as a midfielder for Dynamo Kyiv.

After being transferred to the fading club of Nizhniy Novgorod soon he was offered opportunity from the Ukrainian football giant, Dynamo, which he did not refuse playing alongside such players as Andriy Shevchenko, Serhii Rebrov, Vitaliy Kosovskyi, and others.

[6] He scored one goal, a very important one against the group favorites, Croatia, at Republican Stadium in Kyiv on 11 June 1995 during qualification to the Euro 1996.

Kalitvintsev was appointed as assistant of head coach Myron Markevych of Ukraine's national football team early February 2010.