The Save Downhills campaign group said they were "disappointed but not surprised" their application was refused and were considering whether to appeal.
The group said in a statement: "Today's ruling shows that consultation during academy conversion is irrelevant.
"Parents' voices have been completely ignored. The law appears constructed to ensure that only one man, the Secretary of State, can make decisions about any school's future. Downhills is a happy, inclusive and improving school as the latest test results and Ofsted monitoring will show.
"We believe we are the victims of his wider political agenda. He publicly abused us as 'enemies of promise' and said he was 'marching towards the sound of gunfire'. We continue to believe Mr Gove has abused his power, denying parents and local communities their legitimate voice."
More top news
Labour’s Marshsa de Cordova hopes her experience will lead to more people disabilities being elected as MPs.
Passengers were evacuated from Tower Hill at lunchtime as flames appeared inside one of the carriages.
A parent who drove at a teacher because he wouldn't allow access to the school car park, carrying him on his bonnet, has been jailed.