Kåmark was bought by Leicester City from Göteborg for £840,000 in September 1995, but did not join the team until IFK Göteborg had lifted the 1995 Allsvenskan trophy. Only three days after making his debut for the club, Kåmark tore his ACL in a League Cup game against Bolton Wanderers, which ruled him out of football for a year. Kåmark eventually recovered from his injury and made his comeback in January 1997, eventually helping his team win the 1996–97 Football League Cup, playing in all 120 minutes in the final.