In a 17-year playing career as a goalkeeper, he set a Czechoslovak First League record for clean sheets in a season, and spent four years in England at Queens Park Rangers.
He was one of only 13 foreign players to play on the opening weekend of the FA Premier League along with Peter Schmeichel, Andrei Kanchelskis, Robert Warzycha, Roland Nilsson, Eric Cantona, Hans Segers, John Faxe Jensen, Anders Limpar, Gunnar Halle, Craig Forrest, Michel Vonk and Ronnie Rosenthal.
[6] At international level, Stejskal made 31 appearances for his country and played at the 1990 FIFA World Cup.
[7] Stejskal worked as a goalkeeping coach for the Czech Republic national football team until his departure in 2009.
[8] He was also appointed to the same position in Sparta Prague in 2011, but left later that December and replaced by former national team goalkeeper Pavel Srníček.