At club level, Skuhravý mostly played in the Italian Serie A in the early 1990s with Genoa, being signed from Sparta Prague, forming a prolific partnership with Uruguayan Carlos 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 club's modern history. The following year he helped his team reach the semi-finals in the UEFA Cup, ultimately being eliminated by eventual champions 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.