No. A private corporate approval is not immigration status. A qualifying L spouse may work incident to valid status with appropriate evidence.
Keep company approval separate from personal authorization
Eligible temporary dependents are a spouse and unmarried children under 21; children receive no spousal work benefit. Identify the actual admission records before the household relies on employment.
Record the citizenship, relationship evidence, and intended activities of the applicant's actual accompanying family members, keeping that analysis distinct from any family relationship that may exist between the business owners on either side of the transfer. For someone seeking L-2, the principal’s approved transfer does not itself grant the family member status: check the individual classification, validity dates and spouse-designated I-94 where applicable. None of this alters the principal’s own case, which still turns on a qualifying relationship between the entities, one continuous year of qualifying employment abroad within the preceding three years, duties that are primarily managerial or executive, and the seven-year ceiling on L-1A time.
A spouse's employer, a school, and a landlord will each want an answer sooner than the case can give one, and a household that has agreed its own fallback positions in advance answers those questions calmly rather than under pressure.