|Date of birth||24 April 1973|
|Place of birth||West Berlin, West Germany|
|Height||1.97 m (6 ft 6 in)|
|Playing position||Centre forward|
|1992–1993||Hamburger SV II||6||(4)|
|2003–2005||Hamburger SV (youth)|
|2006–2008||Hamburger SV II|
|* Senior club appearances and goals counted for the domestic league only.
Bäron arrived at Hamburger SV in 1992, at the age of 19, from modest Hertha Zehlendorf. He immediately had an impact for the first division club, ranking first in goals in the team (eight) for an eventual 11th-place finish; during his first season, he paired up front with diminutive Pole Jan Furtok, also being first summoned to the German U-21 squad.
In 1993–94, Bäron bettered his total to 13, one behind midfielder Thomas von Heesen in the squad, but Hamburg finished 12th. In the subsequent three seasons, he appeared irregularly, but still managed to contribute with 18 league goals combined.
From 1997 onwards, however, Bäron was hindered with serious knee problems, which forced him to undergo eight surgeries. He played in seven games in the 1999–2000 season as Hamburg finished in third position, but those would be his only in four years, as he eventually retired from football in June 2001, at only 28.