As a player, Palička played in the Czechoslovak First League for Olomouc and Plzeň,[1] as well as other clubs including Lutín, Dukla Brno, Hradec Králové, Třinec, Drnovice and Hulín between 1962 and 1989.
[3] In May 2004, Palička replaced Vlastislav Mareček as manager of FC Tescoma Zlín, signing a contract until the end of June 2006.
[4] Shortly after parting with Zlín, Palička was appointed manager of fellow Czech First League side SFC Opava on a short-term basis,[5] before being given the job until the end of the season.
[8] In June 2006 he joined SK Sigma Olomouc but was replaced in August of the same year, having achieved a draw and three defeats from four league matches.
[13] After a poor start to the following season, during which the club had won just 1 of 15 games and rested at the bottom of the league, Palička was removed from his position.