Gordeev has been active in trying to save architecturally significant buildings from the Soviet era, including the 1927 Melnikov House in Moscow. He has also saved the Narkomfin building in Moscow. Others have been sceptical of his motives, but he calls himself an idealist, and is inspired by museums such as Sir John Soane's Museum in London.
In 2013, Gordeev purchased a 20% stake in PIK Group from Billionaire Suleiman Kerimov. In November 2017, Gordeev bought an additional 24.6% stake in the PIK Group for $825 million, elevating his total stake in the company to 74.6%.