"If <name> would like to take a job after immigration, this is easily possible. A request by the employer due to the new legislation, since January 1, 2008 no longer required. The authorization of family reunification entitled simultaneously to the immediate employment The Entry date is allowed immediately."
which is really strange because that is referring to dependents of non-EU nationals who hold a B permit, not an L permit. The full section of the Act is given here. Note that establishment permit is a C, residence permit is a B and short stay is an L. "4.4.1 Lucrative business of family members of a foreign (art. 26 and 27OASA)
Art. OASA 26 and 27 provide that the priority (Art. 21 AuG) given to foreign job-seekers already in Switzerland and authorized to work does not apply to the first activity of people entering Switzerland for family reunification ( art. 44 and 45 FNA). This means that holders of a particular residence permit can claim a priority in respect of persons who have entered Switzerland under family reunification.
Members of the foreign family who entered Switzerland under family reunification are not subject to the maximum numbers pursuant to art. 19 and 20 OASA.
Only people with the right to family reunification may invoke the constitutional right to engage in a gainful activity (ATF 123 I 212 ff). Therefore, the family members of a Swiss citizen or establishment permit, under 46 and 27 LEtr OASA, gainful employment without authorization.
By contrast, members of the family of a holder of a residence permit do not have a right to gainful employment. However, given the general objectives of the Foreign Nationals Act (better integration of the foreign population), the legislature decided not to submit gainful employment authorization.
Members of the family of a holder of an authorization for short stay (art. 26 OASA) does not have a right to gainful employment. The gainful activity is subject to authorization. On admission, a request of the employer respecting the pay and conditions of employment customary in the locality and in the branch must have been made. In addition, members of the family of a holder of an authorization of short stay (art. 26 OASA) must have professional qualifications (personal qualifications, Art. 23 AuG).
The possibility of gainful employment for family members is related, according to art. OASA 26 and 27, to the duration of the authorization of the person who benefited from family reunification. If the residence permit of spouse is not renewed, the family members can claim a right to pursue their gainful employment (art. 6, para. 2, OASA)." https://www.bfm.admin.ch/content/dam...ngen-aug-f.pdf
The Foreign Nationals Act came into force on 1st January 2008.
What this means is that C dependent permit holders can work without needing authorization. B dependent permit holders should have to seek authorization, but the legislature decided not to implement that part of the Act. L dependent permit holders do have to get authorization to work.
vimalraj30, are you on an open-ended contract by any chance? That's the only thing I can think of which might cause the letter to be sent. Still, it is very unusual for a non-EU L dependent not to need authorization. I would double check it with the cantonal migration office if she does want to work here because it seems to me that, for some reason, they think you hold a B permit and not an L.