Hohn, who runs hedge fund TCI Fund Management, owns 3.1% of Cellnex's shares and 5.9% in derivatives, corporate records show.
However, Hohn last month wrote to Airbus, in which TCI has a 3% stake, demanding it drop a deal.
"We believe that the subsequent hiring process for a new CEO has been mishandled by the board and resulted in insufficient progress to recruiting a suitable replacement," Hohn wrote in the letter, published on TCI's website.
"We intend to exercise our shareholder rights to request certain shareholder resolutions be added to the next AGM," the letter said.
Kan was named Cellnex's chairman in 2021 and has been an independent member of the board since 2015.