As a youth player, he played for the most famous Hungarian club side, Ferencvaros, and he also honed his skills in Honved and MTK Budapest, both Premier Division Hungarian sides. As a goalkeeper of great talent, he played many games for the National Youth Team of Hungary, as well as the 13 and A senior National teams. After his playing days were over, he devoted much of his time to coaching and teaching young soccer players on the highest level.
Before moving on to the senior level, Bicskei successfully completed the, work, and graduated at the world renowned soccer academy in Cologne, Germany in 1986. He is one of just a few Hungarian-born coaches who was able to earn one of the most respected coaching diplomas in the world. While in Germany, he also studied philosophy, and learned to speak excellent German.
Bicskei packed his suitcase again in 1995, this time to Saudi Arabia where he coached the Al-Riyadh club in the 1995/96 seasons. During his stay in Saudi Arabia, he started working on his book, "Preparation of Young Footballs", a soccer achievement that not only complements, but also challenges everything that was written thus far on teaching young soccer players to achieve the highest level. After returning home, he coached Honved Budapest once again, 1996/97 seasons, and he was technical director at RABA ETO Gyor in the 1998/99 seasons.
Between 1998 and 2001 he served his second stint as the national coach of Hungary, later becoming the technical director of the Hungarian Football Federation between 2006 and mid-2008.
In the second half of 2004, the Football Association of Malaysia selected Bertalan Bicskei, to succeed Allan Harris. Bicskei led the national side to third place at the regional Tiger Cup competition, but was demoted to youth development duties by FAM for his actions during a friendly against Singapore in Penang on 8 June 2005. Bicskei, disgusted by the standard of officiating, threw a bottle onto the pitch before confronting a Singapore player. In September 2005 the contract was terminated after mutual agreement.
Bicksei was given the job of Liberia's national coach in July 2010 on a four-year contract, but had to take a leave of absence in February 2011 after being poisoned in Liberia.