His comments come in the wake of Jose Mourinho who was sacked by Manchester United after their worst start to a season in almost 30 years.
The 55-year-old Portuguese's last match in charge was the 3-1 defeat by Premier League leaders Liverpool on Sunday which left them 19 points behind their opponents.
Mourinho's sacking comes just two-and-a-half years into his tenure and three years and a day since Chelsea sacked him just months after he had guided them to the title.
Franklin Cudjoe in a Facebook post entreated the President to do same to his ministers who have failed to deliver.
"Nana Addo, see Man U has fired Jose before the end of the year? Fire at least 15 and reduce ministerial numbers from 111 to 80," he wrote.
READ MORE: Special Dev't Initiative will not accept government’s defence of Hawa Koomson budget - Minority
The IMANI boss has been a torn in the flesh of Nana Addo when he [Nana Addo] created new ministries and appointed some persons to fill them.
Cudjoe said the president appointed too many ministers to serve in government, arguing this will have negative implications on the public purse which he has promised to protect.
He said although the President had the constitutional right to appoint ministers of a number of his choice, it is not prudent to appoint too many of them.