Mr Gargan said there was "some serious work to be done" setting budgets and priorities.
Nick Gargan has been officially confirmed as the new Chief Constable of Avon and Somerset Police.
BBC: Nick Gargan confirmed as Avon and Somerset Chief Constable
Avon and Somerset Police's commissioner has announced the force's new chief constable will be Nick Gargan.
Gargan gave DC a surprise lead as he stabbed home Andy Cleary's cross in the eighth minute.
Speaking ahead of the discussion, Mr Gargan said as chief constable he was directly accountable for front-line services.
Nick Gargan was speaking to the BBC for the first time since his appointment almost a month ago.
Mr Gargan is the former chief constable and chief executive of the NPIA - the National Policing Improvement Agency.
Ciaran Gargan put Celtic ahead on eight minutes and despite Blues pressure, the home side still led at the break.
Mr Gargan's appointment was officially confirmed by a meeting of the force's police and crime panel following his selection last week.
BBC: Nick Gargan confirmed as Avon and Somerset Chief Constable
The appointment of Mr Gargan, 46, was made by a panel chaired by the force's new Police and Crime Commissioner Sue Mountstevens.
Nick Gargan is taking part in a Police Federation debate examining whether some of the force's functions could be improved by external contractors.
Mr Gargan, the former chief constable and chief executive of the National Policing Improvement Agency (NPIA), is due to start work on 1 March.
BBC: Nick Gargan confirmed as Avon and Somerset Chief Constable
Mr Gargan will replace the current chief Colin Port, who is retiring at the end of the month after refusing to re-apply for his own job.
Early goals from Eamon McAllister and Ciaran Gargan put DC in charge and Paul Carvill's own goal made it 2-1, only for Paul McVeigh to restore the two-goal advantage.
Mr Gargan said he would be having "protracted and detailed conversations" with Police and Crime Commissioner (PCC) Sue Mountstevens over the next 12 months as the future of how forces are funded becomes clearer.
Mr Gargan, who is also a previous assistant chief constable of the Thames Valley force, said it had been a "turbulent time" but he hoped to repay the confidence of the PCC and the panel through "hard work and common sense".
BBC: Nick Gargan confirmed as Avon and Somerset Chief Constable
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