Biographical information on Fiorenza's schooling and early life is very scarce; he must have been born in the city of Naples somewhere in the very beginning of the 18th century.
Nevertheless, we can be sure that he received his training at the conservatory of S. Maria del Loreto in his hometown under Giancarlo Cailò and Francesco Barbella.
The first verifiable date in Fiorenza's career is 1726, the year in which his sinfonia in A minor for flute, two violins and basso continuo was published.
Not only did he engage in a violent conflict with one of his colleagues, the oboist Cherubino Corena, he also seems to have had several altercations with his students.
[2] According to the musicologist Andrea Friggi, apart from the 1726 sinfonia, most if not all of Fiorenza's approximately thirty works can be dated in the period from 1727 to 1738.