He featured for clubs including North York Rockets in Canada, Germinal Ekeren, Anderlecht (where he won the national championship twice), Lierse and Waasland-Beveren in Belgium, Everton and Fulham in England and Skoda Xanthi in Greece.

Prior to his moving to Canada, Radziński began his playing career as a youth with Cuiavia Inowrocław in his native Poland, and Germany's VfL Osnabrück.

At Everton, Radziński scored 25 times in 91 Premiership outings before requesting a transfer, eventually securing a three-year deal with Fulham F.C.

On 29 January 2012, Belgian Second Division side Waasland-Beveren announced they had signed Radzinski on a short-term deal until the end of the 2011–12 season with an option for an additional year.

[8] In October 1999, Radzinski had been called up to the Canada national team by coach Holger Osieck, he promised to attend, failed to turn up and later refused to be interviewed about it.