Security Analyst Adib Saani is urging the IGP to reach out to the Speaker of Parliament Alban S.K Bagbin to solve any misunderstanding before matters get out of hands.
His comments follow the attempted arrests of MP for Madina Francis Xavier Sosu.
Mr. Sosu is a person of interest for police after he led a protest against bad roads in his constituency.
In the protest, some of the protestors blocked roads and burnt tyres and allegedly destroyed some property.
Police have insisted that these amounted to criminal activity and have tried to invite the MP to assist with investigations.
Mr. Sosu said some police officers tried to arrest him during the protest.
Police were also reported to have tried to arrest Mr. Sosu while he was at Church on Sunday though the Police administration has denied the reports.
Though protestors had blocked roads during the protest, Mr. Sosu said there was no basis for any arrest because he had followed due process in organising the protest.
After the first attempt to arrest him, Mr. Sosu filed a formal complaint in Parliament accusing two police commanding officers of contempt of Parliament.
The Speaker of Parliament, Alban Bagbin, referred the complaint against the two police personnel to the Privileges Committee of Parliament.
The officers cited in Mr. Sosu’s complaint were ACP Isaac Kojo Asante, the Greater Accra Regional Operations Commander, and ACP Eric Winful, the Adentan Divisional Commander.
Many have criticized the move by the police as wrong because the speaker was not informed as stipulated by the house’s standing orders.
Mr Adib Saani said the relationship between the police and the speaker is not that good and there is the need for the IGP to reach out to the speaker before matters gets out of hand.