In the 1996–97 season, Greuther finished second in the league and was promoted to the 2. Bundesliga. Veh also led the team to a Round of 16 berth in the German Cup where they lost 3–1 to Karlsruher SC.
During the 1996–97 campaign, Greuther secured second place in the league and advanced to the 2. Bundesliga following promotion. Under Veh's leadership, the team reached the Round of 16 in the German Cup, ultimately falling 3–1 to Karlsruher SC.