Selivanov was selected in the sixth round of the 1994 NHL Entry Draft, 140th overall, by the Philadelphia Flyers as an over-ager.

During the 1999–2000 season, Selivanov briefly led the league in scoring, before injuries and a prolonged slump stopped him.

After one more season, a disappointing one with the Columbus Blue Jackets, Selivanov returned to Europe, playing in Russia and Germany.

In January 2008 it was announced that he transferred from Germany to Switzerland to play with Fribourg-Gottéron in the National League A.

In September 2009 HYS The Hague of the Dutch hockey league Eredivisie announced that Selivanov signed a one-year contract with them.