In a statement, Mr Kogan has said: "As the commissioner states, my suitability for the role has never been in question, and at no point was I aware of any deviation from best practice."
Mr Kogan, a sports rights executive, was initially longlisted for the football regulator role under the previous Conservative government.
Nandy became involved in the process after Labour won the 2024 general election and she took on the role of culture secretary.
In April, she announced that Mr Kogan would be her preferred pick to fill the £130,000-a-year role.
However, a month later she removed herself from the appointment process after Mr Kogan revealed to a parliamentary committee that he had donated "very small sums" to Nandy in 2020.
In his report, commissioner for public appointments Sir William Shawcross said Nandy had "unknowingly" breached the code and should have checked if Mr Kogan had given her money before choosing him as her preferred candidate.