The decision over whether it was lawful to call for the resignation of South Yorkshire Police's former chief constable could take weeks.
David Crompton was suspended from his post as the Chief Constable of South Yorkshire Police last year, following the conclusion of the inquests into the deaths of 96 football fans at Hillsborough football stadium in 1989.
South Yorkshire's Police and Crime Commissioner, Dr Alan Billings, claimed a statement Mr Crompton made appeared to justify the way police lawyers questioned fans' behaviour on the day of the disaster during the inquest process.
The statement was made despite a jury concluding that police actions contributed to or caused the deaths of the 96 fans.
During a judicial review at the High Court, Mr Crompton's lawyers claimed that Dr Billings' decision to call upon him to resign or retire was unreasonable, irrational or disproportionate.
They want the decision declared unlawful.
Her Majesty's Inspectorate of Constabulary described Dr Billings' request as a 'forced removal' of the Chief Constable.
The High Court reserved a decision and judges are expected to take between two and eight weeks to deliver the ruling.