Described herein is a system for operating a gearbox that includes: a first shaft having a first longitudinal axis; a first actuator assembly operatively connected to the first shaft; a second shaft having a second longitudinal axis; a second actuator assembly operatively connected to the second shaft; and a plurality of engagement elements connected in rotation to the second shaft. The first shaft is hollow, is fitted on the second shaft, and is axially movable relative to the second shaft. The plurality of engagement elements are moreover connected in translation to the first shaft and are axially movable therewith along the first longitudinal axis and relative to the second shaft. The first and second shafts can be operated independently of one another for execution of the movements of selection and engagement of the gears of the gearbox.