Yes, as an L-2 spouse he is employment-authorized incident to status and may work for any employer. Any licensing or certification a particular job requires is a separate matter.
L-2 spouses may work; the job still has its own rules
Hypothetical example: the spouse of a Frontenac Islands L-1B technician works as a deckhand and hopes to find marine or industrial work near her first long assignment. As an L-2 spouse he is authorized to work incident to his status, which distinguishes L-2 sharply from TD, and he does not need to be sponsored by an employer. He may still need to satisfy whatever a specific job demands: a transportation worker credential, a state licence or a union hiring process.
The couple should also consider her itinerary. If she moves between customer sites in several states over the year, his employment is easier if it is remote or if the family settles at the subsidiary's base rather than following each commissioning. Children under 21 may accompany in L-2 status and study but may not work.
If the couple are not legally married, he is not an L-2 spouse and would need a status of his own. Hypothetical example: A Frontenac Islands precision-optics company transfers a technical specialist whose spouse wants to start a home bakery and whose nineteen-year-old wishes to work part time. The spouse’s L-2S admission record can support employment, but the child’s dependent status cannot support work.
Their first review should make that distinction before leases or customer contracts are signed. A passport, marriage certificate, and birth certificate settle derivative eligibility; a business plan does not create work permission for the child.