In his Brann-debut, Kvisvik scored the equalizing goal in the 1–1 draw against Lillestrøm and he was given much of the honor when Brann avoided relegation in the 1998 season.
[3] Kvisvik and his teammate at Brann, Thorstein Helstad, joined Austria Wien for a combined fee of 16 million NOK in July 2002.
After scoring goals in the friendly matches against Bahrain and Kuwait in January 2005, Kvisvik became a regular in Åge Hareide's national team.
[3] In July 2006, Kvisvik launched a single, This Is For Real, together with four other professional Norwegian footballers – Morten Gamst Pedersen, Freddy dos Santos, Kristofer Hæstad, and Øyvind Svenning.
Kvisvik has also played for the Norway national floorball team (four games), and has won the Norwegian championships four times with Greåker Bulldogs.