He was an important part of the Kings' playoff[broken anchor] run to the Stanley Cup Finals, where they lost to the Montreal Canadiens.

After another year of playing with the Kings and Wayne Gretzky, Zhitnik was traded on February 14, 1995, along with Robb Stauber, Charlie Huddy and a fifth-round draft pick, to the Buffalo Sabres for Grant Fuhr, Denis Tsygurov and Philippe Boucher.

On December 16, 2006, Zhitnik was traded to the Philadelphia Flyers for Freddy Meyer and a conditional third-round draft pick.

[1] However, he was traded two months later on February 24, 2007, to the Atlanta Thrashers to add experience for playoffs, in exchange for Braydon Coburn.

[2] On July 26, 2008, Zhitnik joined the Kontinental Hockey League, signing a tryout contract with Dynamo Moscow.