Corbetta published five surviving books of music for the five-course guitar. His first book includes mostly strummed dance music, while the later books exhibit a great mastery over the combination of strummed and plucked textures. Corbetta's earlier compositions follow the Italian tradition, but his last two publications are firmly in the French style. These publications also included important information for continuo playing on the guitar.

Corbetta was also influential as a teacher. His students included such successful guitarists as Robert de Visée, Giovanni Battista Granata, and Remy Médard, as well as Queen Anne of Great Britain, and King Louis XIV of France.