At club level, he mostly played in the ItalianSerie A in the early 1990s with Genoa, being signed from Sparta Prague, forming a prolific partnership with UruguayanCarlos Aguilera. Tall and powerful Skuhravy usually attained full shape and proficiency later in the season while the smaller and quicker Aguilera gave his best in the early matches; together they managed to give Genoa a solid attack all-year round. In the 1990–91 season, the two players scored 15 goals apiece, good for tied-third in the scorers' standings, leading Genoa to a fourth place in the final standings, arguably the best result in the modern club history. The following year he helped his team reach the Semi-finals in the UEFA Cup, ultimately being eliminated by Ajax Amsterdam. Skuhravý scored a total of 57 goals with Genoa, becoming the best club goalscorer in the Serie A for the rossoblu. He left Genoa in 1995 to join Sporting Clube de Portugal, where he ended his playing career.
He played for Czechoslovakia and later the Czech Republic, playing a total of 49 international matches, scoring 17 goals. For Czechoslovakia he played 43 matches and scored 14 goals, while for the Czech Republic he played six matches, scoring three goals. He was a participant in the 1990 FIFA World Cup, where he scored five goals to become the second highest scorer for the tournament. This included a hat-trick against Costa Rica.
Today Skuhravý lives in Genoa, where he works as a night club owner and football pundit for a local TV channel.