Parents are "frustrated" that their local councils cannot intervene where there are concerns about schools' performance, according to the Local Government Association (LGA).
Cllr David Simmonds, chairman of the LGA's Children and Young People Board, said: "Parents deserve a local organisation to act as a first port of call if they are not satisfied with the response from their child's school or its governing body.
"Mums and dads concerned about their children's education will always turn to their local council for help. But they are rightly becoming increasingly frustrated when their council is unable to intervene."
More top news
The full line-up of the BBC's Top Gear programme has been announced.
After teasing fans with several album names it appears the rapper has finally settled on one - but which Pablo is he talking about?
Britain's camp for the Rio Olympics should be moved to a Zika-free location outside Brazil, Jessica Ennis-Hill's coach has said.