Aged 24 on 13 December 1997, Hedman debuted in a 4-0 win over Tottenham Hotspur and only lost his place again in February due to injury. Steve Ogrizovic however was on top form on his return and kept the number 1 shirt almost to the end of the season, Hedman returned for the final three league matches. Hedman made 17 appearances in his first season at Coventry City. Hedman began the 1998-99 campaign as number 1 keeper. Now 41, Ogrizovic was restricted to just two games and Hedman made 42 appearances in all competitions.[3][4]
Hedman remained number 1 in Ogrizovic's final campaign during 1999-2000. The next season saw youngster Chris Kirkland take the shirt from Hedman, but the Sky Blues were relegated from the Premier League during that campaign. Hedman regained his place following Kirkland's transfer to Liverpool after a single game of the 2001–02 season. Hedman's Coventry career came to an acrimonious conclusion towards the end of that season, when he was approached on the pitch during an away match against Preston North End on 6 April 2002 by a 'fan' who was questioning his commitment to the club.[5][6][7]
In January 2004, he had a loan spell at Italian team Ancona in Serie A. Hedman only played in three games, and it was a time in which he later claimed to have witnessed bribery on part of his Ancona teammates.[12][13] He returned to Celtic, and played against Barcelona and A.C. Milan in the Champions League group stage, before being released by the club in July 2005.[14][15][16] He retired from professional football a month later.[17]
Return to England
On 9 November 2006, it was announced that Hedman would join reigning Premier League champions Chelsea on a week's trial, due to Chelsea's current lack of fully fit goalkeepers except for Henrique Hilário and youth team keeper Yves Ma-Kalambay. The move was eventually completed on 14 November 2006, with Hedman taking the number 22 shirt previously worn by Eiður Guðjohnsen. At the end of the season, Hedman was released from his contract, having made no official appearances for the club.[18]
Frej
He was the goalkeeping coach for then third-tier club Frej.
On 21 June 2013, he made a one-match comeback and played 90 minutes in Frej's 3–1 victory against Selånger.[19]