Kozitsyn founded UMMC in the late 1990s with fellow Billionaire Iskander Makhmudov. He was appointed the General Director of UMMC in 2002. As of 2017, Kozitsyn owns 35% of the company.
Kozitsyn began his professional career as a mechanic at Uralelectromed, where he eventually served as General Director from 1995 to 2002. Uralelectromed is now the main factory of UMMC.
In 2016, Kozitsyn became the President of KHL hockey club Automobilist. He has since announced plans to build a 15,000 person arena in Ekaterinburg.