Alexander Salák started his career in IHC Pisek and moved to HC České Budějovice organization during the 2001/02 season.

He was recalled by the Panthers and made his NHL debut on October 9, 2009 in a relief role in a game against the Carolina Hurricanes.

On August 13, 2010, Alexander Salák was loaned to Färjestad BK of the Swedish Elite League for the 2010-11 season.

On February 9, 2011, Salák was traded by the Panthers to the Chicago Blackhawks, along with forward Michael Frolík for Jack Skille, Hugh Jessiman, and David Pacan.

[3] He made his Kontinental Hockey League debut playing with SKA Saint Petersburg during the 2013–14 KHL season.