No objection letters are essential when working on a visa application here's everything you need to know about how to write them. J-1 visa holders who wish to waive the Foreign Residency Requirement may file for a No Objection Statement.Learn about the process with us. The letter will include a declaration that your employer has granted you permission to leave the country without objection for a short business trip. Using the NOC form, you can authorize your wife to sponsor visas for your child(ren).