Protecting American Jobs Act This bill modifies provisions governing the National Labor Relations Board to repeal the authority of the General Counsel of the board, to issue, and prosecute before the board, complaints of unfair labor practices; limit the board's rulemaking authority to rules concerning the internal functions of the board; prohibit the board from promulgating regulations affecting the substantive or procedural rights of any person, employer, employee, or labor organization, including rules concerning unfair labor practices and representation elections; repeal the board's authority to prevent persons from engaging in unfair labor practices, limiting such authority to the investigation of allegations of such practices; and repeal the board's authority to petition courts for enforcement of its orders, seek injunctions, or hold hearings on jurisdictional strikes.