He left FCZ for city rivals Grasshopper Club Zürich for a short period towards the end of his career.

Internationally he won 63 caps, and as a 22-year-old played one game at the 1966 World Cup, before being sent home in disgrace, and later banned for 12 months from the national team, for breaking a curfew.

Kuhn was promoted to coach of the senior national team in June 2001, replacing the Argentine Enzo Trossero.

[4] After out-qualifying Russia and the Republic of Ireland to reach Euro 2004, the Swiss team drew 0–0 with Croatia in their opening game of the finals, before defeats to England and France saw them finish bottom of their group.

At the World Cup finals, the Swiss defence again shone, as they topped their group which included France, Togo and South Korea.

In their second match, against Turkey, Switzerland wasted several good chances in a torrential downpour before succumbing to a late, deflected winner, making the score 2–1.

Kuhn told the Tages-Anzeiger newspaper, "I had two feelings inside me on Wednesday, one of huge disappointment because we had gone out of the tournament and a great joy because of the surprise news from the hospital.