Of Slovak lineage, Stastny is the son of Hockey Hall of Famer Peter Šťastný, who played for the Avalanche's predecessor, the Quebec Nordiques.
Peter is the father of Yan Stastny, who made his NHL debut in 2005–06 with the Edmonton Oilers and is currently playing in Nuremberg, Germany, and Paul Stastny, who began his career with the Colorado Avalanche (the same franchise as the Quebec Nordiques, Peter's first NHL team) in 2006–07 and wears the same number (#26).
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He joined the party SDKÚ-DS of the former Prime-minister Mikuláš Dzurinda to pursue a career in the European Parliament since he is fluent in both English and French.
Peter Pan | Peter Gabriel | Peter Jackson | Peter | Saint Peter | Peter Paul Rubens | Peter Sellers | Peter the Great | Blue Peter | Peter Frampton | Peter Greenaway | Peter Brook | Peter Lorre | Peter Ustinov | St. Peter's Basilica | Peter Kropotkin | St. Peter | Peter Fonda | Peter Kay | Peter David | Peter Mandelson | Peter O'Toole | Peter Allen | Lord Peter Wimsey | Peter Sellars | Peter Schreier | Peter, Paul and Mary | Peter Davison | Peter Singer | Peter Maxwell Davies |
A groundbreaking ceremony for the new arena was held on September 3, 2012, attended by Quebecor Chairman Pierre-Karl Péladeau, then-Premier of Quebec Jean Charest, and former Quebec Nordiques players Michel Goulet, Peter Stastny and Alain Côté.