He scored in the group stage against Russia and played in the UEFA Euro 1996 Final, where the Czech Republic lost to Germany.

In this time he captained the title-winning team in the 1995–96 Czech First League,[2] as well as being involved in Slavia's progression to the semi-final stage of the 1995–96 UEFA Cup.

[3] Suchopárek scored with a header in the last group match against Russia, which finished 3–3 and meant that the Czech Republic advanced to the quarter-finals of the tournament.

[4] Suchopárek was shown the yellow card in the first minute of the quarter-final match against Portugal,[5] which the Czechs went on to win 1–0 thanks to a Karel Poborský strike.

However, since he had received two yellow cards in the tournament, Suchopárek was one of four Czech players to miss the semi-final clash with France due to suspension.

[2] Following his playing career, Suchopárek became a coach at SK Kladno, where he remained until 2010, when he moved to FK Dukla Prague to become assistant to Luboš Kozel.