The division bench of Chief Justice Bhaskar Bhattacharya and Justice J B Pardiwala held that "there is no public interest in the petition".
"The appointment has been challenged after three years, there is no valid ground for the delay," the bench added.
Bapupura Doodh Utpadak Samiti in the district had challenged Sodhi's appointment contending that proper process was not followed.
In November last year, Moghabhai Desai, a board member of the Amul cooperative board, challenged the appointment on similar ground before the High Court.
