Visnovsky, also a defenseman, is considered a power-play specialist, with 40 of his 88 career goals resulting from a man-advantage situation. He has 10 goals and 22 assists and just a minus-4, an accomplishment on a dreadful team that is dead last in the league.
"Lubomir Visnovsky is a skilled defenseman with a proven track record," Ducks general manager Bob Murray said in a statement. "We feel this is a major addition for us, not only for our stretch drive but going forward."
The Ducks were hoping Whitney, 27, would provide some offensive firepower when they traded for him at the deadline last season from Pittsburgh. But he has just four goals and 24 assists in 62 games this season.
"It didn't work out here," Whitney said, according to NHL.com. "But it's a business decision. I want to go there and be a leader. Just play as well as I can and make them a good team again."
Visnovsky, 33, still has three years and $14 million on his contract. He was a member of the Slovakia team at the Vancouver Games.
Toskala, 32, will be an unrestricted free agent July 1.
They did not leave the goaltender well dry, however, obtaining Joey MacDonald from the Maple Leafs in exchange for a 2011 seventh-round pick.
Anaheim appears ready to rely on Jonas Hiller, who was Switzerland's goalie at the Vancouver Games and was spectacular in a closer-than-expected 2-0 quarterfinal loss to the United States.
Hiller signed a four-year, $18 million contract extension last month.
Information from ESPN.com's Pierre LeBrun was used in this report.