Beginning his career with Halmstad in 1989, he went on to represent IFK Göteborg, Sheffield Wednesday, Everton, and West Ham United before retiring in 2009.

A full international between 1993 and 2008, he won 109 caps for the Sweden national team and represented his country at two FIFA World Cups (2002 and 2006) and two UEFA European Championships (2000 and 2008).

[4][5][6] Alexandersson made his debut for the Sweden national team in 1993, and participated in 109 international games, scoring seven goals.

One of his goals came in Sweden's 1–1 draw against England, which he shot powerfully from outside the box and passed through David Seaman during the group stages of the 2002 World Cup.

[8] While playing football, Alexandersson's family has lived in numerous places including Sheffield, Liverpool, Warrington, and London before returning to Gothenborg.