Kutschera played in youth for the SG oak box and the sports club Eintracht Freising. As A Teenager, he moved in 1986 to Bayern Munich and three years later to blue and white 90 Berlin in the 2nd Bundesliga, for whom he played for two seasons in 73 of 76 games.
In 1991, he joined Bayer 05 Uerdingen to the 2nd Bundesliga Nord. After the first season Uerdinger rose to the Bundesliga. His first Bundesliga game Kutschera graduated on 21 August 1992 (2nd Round ) in a 1-1 away draw against SG Wattenscheid 09 For Bayer, he played 24 times in the Bundesliga, then it went after a year back in the second tier.
After another season in the second league he moved in 1994 to TSV 1860 München and thus back to the Bundesliga. His first Bundesliga goal scored Kutschera on March 12, 1995 ( 21 Matchday) in the 2:6 defeat "on " Schalke. During the winter break of the season 1996/97 he moved to Eintracht Frankfurt in the Bundesliga 2. 1998 saw the re- promotion to the Bundesliga, in the Alexander Kutschera the next three years should play.
In 2001 he finally for three years in the Segunda División, the Spanish second division, where he played for CD Xerez under coach Bernd Schuster.
Kutschera was used in 157 Premiership ( 4 goals) and 187 second-division games ( 3 goals ).
During his second engagement as coach of SpVgg Landshut, he coached in the meantime with the county division TSV Wartenberg. Due to staffing problems Kutschera jumped in April 2011 at the age of 43 years once again for a lot, none after two minutes he had, however, an injury again be replaced. He described the brief appearance jokingly referred to as " the shortest comeback of all time".
In 2005, he finally ended his active career and returned from Spain back to Germany. He started as a coach at the State division SpVgg Landshut and returned to the 2008/09 season in his home town of Freising back where he was coach of the SE Freising in Bezirksoberliga to March 2010. For the 2010/11 season he again took on the role as a coach for SpVgg Landshut in the national league Bavaria. After differences with sports director Manfred Maier Kutschera ended on 7 March 2011 its commitment in Landshut. From the summer of 2011, he works for the time being a year of probation as a youth coordinator at neuntklassigen circle division TSV Wartenberg, wants to work again as a coach in the future, however.
- German Champion: 1987 and 1989
- Final of the European Champions' Cup: 1987