[4] Stastny played for the Omaha Lancers, a Junior A team in the United States Hockey League (USHL) during the 2000–01 season.

[3] After a season with Mora IK in the HockeyAllsvenskan, Stastny returned to the German Deutsche Eishockey Liga (DEL), signing an initial try-out contract with the Schwenninger Wild Wings on August 2, 2015.

[8] As a free agent the following off-season, Stastny returned to North America after six European seasons, agreeing to a professional try-out contract to attend the training camp with his former club, the St. Louis Blues, joining his brother Paul, on September 10, 2016.

[9][10] After Stastny failed to make the Blues he signed with HC Vítkovice Ridera of the Czech Extraliga (ELH) in October 2016.

[11] For the 2017–18 season, Stastny signed with EHC Lustenau of the Alps Hockey League and set a career high in goals with 25.