A right winger, Warzycha had a long career in Europe, playing for teams in Poland, Hungary and England with Everton in the Premier League.

He moved to the United States in 1996 and subsequently spent seven seasons in Major League Soccer with Columbus Crew.

After beginning his career in his native Poland, Warzycha moved to England in March 1991 when Howard Kendall signed him for Everton in a £500,000 deal.

He was one of only thirteen players not from the British Isles to play on the opening weekend of the FA Premier League along with Jan Stejskal, Peter Schmeichel, Andrei Kanchelskis, Roland Nilsson, Eric Cantona, Hans Segers, John Jensen, Anders Limpar, Gunnar Halle, Craig Forrest, Michel Vonk and Ronnie Rosenthal and was also the first player from mainland Europe to score in the Premier League, finding the net in Everton's second Premier League game - a 3–0 away win over Manchester United.

[2] On 25 March 2000, Warzycha scored the first-ever regular-season "Golden Goal" in Major League Soccer history to defeat the San Jose Earthquakes 2–1.