Coraggio worked as a magistrate between 1965 and 1969, and served as an assistant general prosecutor for the Court of Auditors between 1969 and 1975.

[3] After the end of term of Marta Cartabia as President of the Constitutional Court, Coraggio ran for the position.

[4] On 18 December 2020, after Morelli's term in office ended, Coraggio was elected President of the Italian Constitutional Court, receiving the unanimity of votes by the member judges.

As his first act, Coraggio confirmed Amato in the role of vice president of the court.

[5] Coraggio was made Knight Grand Cross in the Order of Merit of the Italian Republic on 27 December 1996.