Born in Hjørring, Denmark, Krogh started his career at small clubs Horne KFUM and Tårs Ugilt, before playing in the topflight Danish 1st Division for Ikast fS.

In 1991, the Danish champions from the two years prior, Brøndby, sold their first choice keeper Peter Schmeichel, and Krogh was bought as a replacement.

For the Danish national team, Krogh stood in the shadow of clear first choice keeper Peter Schmeichel, but Krogh was a stable understudy who was selected in the Danish squads for the 1992 European Championship (Euro 1992) and Euro 1996, as well as the 1998 FIFA World Cup without playing a single match.

Krogh would, however, shine in the King Fahd Cup 1995, when he came on as a substitute and saved two penalty kicks from Marcelino Bernal and Luis García Postigo in the semi-final against Mexico before playing the 2–0 win in the final against Argentina.

In January 2008 Krogh became employed in the sponsorship department of Hvidovre IF and manager of the club's reserve team.