The National Chamber Foundation launched a study yesterday to examine the feasibility of increased involvement of the private sector in the management of federal programs that promote exports.

The foundation, a policy research organization affiliated with the Chamber of Commerce of the United States, named Frank A. Weil, former assistant secretary of Commerce for industry and trade, to head the effort. Weil is now with the Washington firm of Ginsburg, Feldman, Weil and Bress.

Among other things, the study will seek to determine whether any federal export programs could be moved outside the government to a private corporation, possibly federally chartered, that would be free from budget and civil service constraints.

Lear Siegler Chairman Robert T. Campion, who became chairman of the foundation yesterday, told reporters that the United States has not been as successful as it could be in exporting its products abroad, and the study will seek to find out whether that can be changed.

Although larger companies such as Lear Siegler may have extensive export sales operations, many smaller American companies don't even know how to find out about selling abroad, Campion said.

The study, which will take between 60 and 90 days, also will examine private-sector alternatives to the Export-Import Bank and the Overseas Private Investment Corp.