The justice system should "look outwards" to the citizens it serves, said the author of a report arguing for PCCs to have more power. Max Chambers said:
Currently, PCCs are operating with one arm tied behind their back...That includes the ability to appoint the right people as well as set the local strategy and hold criminal justice leaders to account for performance.
Our ambition is for a system where, instead of local criminal justice leaders looking upwards and inwards to Whitehall for direction and validation, they increasingly look outwards to each other and downwards to the citizens they serve.
Controversial Police and Crime Commissioners (PCCs) were introduced to make forces more accountable.
PCCs were brought in last year after only 15.1 percent of registered voters took part in the elections.
They have the power to set force budgets and hire and fire chief constables.
Last month the Home Affairs Select Committee warned that checks and balances on PCCs were "too weak" after raising concerns that those elected to the role were showing a "worrying" ability to evade rules when sacking chief constables.
Tony Lloyd, the Chairman of the Association of Police and Crime Commissioners, has welcomed calls for greater transparency in their relationships with Chief Constables and says that the "vast majority" have "developed a strong and purposeful" relationship.
"Commissioners are mindful that a good working relationship with their Chief Constable is good for force morale and will contribute to better decision-making," he said.
"The public elected Police and Crime Commissioners to hold Chief Constables to account so we welcome measures to improve transparency and enhance the confidence of the public."
The Police Federation of England and Wales said constables "should never face the possibility of being removed from their job due to political reasons or interference".
Chairman Steve Williams said: "All police officers should have the operational independence afforded to them by the office of constable - the principle that they are accountable to the law and the law alone.
"Police officers must be free to carry out their duties for the benefit of the public and to be free from compromise they must be sure their actions could not be improperly held against them in the future."
The Home Affairs committee said it should "not have come as any surprise" that there were a number of high-profile clashes between commissioners and chief constables following reforms that were made.
Elected Police and Crime Commissioners (PCC), which replaced existing police authorities in 41 force areas across England and Wales, were handed the power to set force budgets and hire and fire chief constables.
Just 15.1% of registered voters took part in the November 2012 PCC election - the lowest recorded level of participation at a peacetime non-local government election in Britain.
A group of MPs that warned curbs on Police and Crime Commissioners are "too weak" have been particularly critical of Gwent commissioner Ian Johnston, who "persuaded" Chief Constable Carmel Napier to retire earlier this year.
Napier's retirement meant the formal process was bypassed.
The Home Affairs committee said the reasons given for the decision were "unsubstantiated by any concrete examples".
It also rounded on him for criticising the grilling he received about the move at the hands of Labour MP Chris Ruane, who represents the Vale of Clwyd constituency in North Wales.
"We were disappointed that, shortly after we took evidence from Mr Johnston, he took to Twitter to criticise a member of the committee for asking questions that he believed had been prompted by Gwent MPs, describing the proceedings as 'sad really'," the report said.