He was also the managing director of the Institute of European and International Business Law at the University of St Gallen HSG from 1990 to 2014.
The EFTA Court is bound by homogeneity rules to follow or to take into account relevant ECJ case law.
In practice, the one-sided written homogeneity rules have largely been superseded by a "unique judicial dialogue" (ECJ Advocate General Verica Trstenjak).
On 16 April 2011, the leading Norwegian business paper Dagens Næringsliv referred to President Baudenbacher as "King Carl of the EEA" and as "one of Norway's most powerful men."
On 21 August 2017, The Times wrote in the context of Brexit: "Carl Baudenbacher is not shy about plunging into international geopolitics.
His specialties are coaching of lawyers' teams, writing legal opinions, acting as a mock trial judge.
Professor Baudenbacher has furthermore advised the Court of Justice of the Andean Community and the Government of the Republic of Chile on its project for a new constitution.
In 2019 Baudenbacher published an op-ed harshly criticizing the Norwegian Attorney General for allegedly having worked over a 20-year period to undermine the EFTA rules and courts.