Lubbock's Building Safety Department issues permits for structural, electrical, plumbing and mechanical changes. Its list names windows, walls, circuits, plumbing and ductwork but not insulation, so ask about a foam-only job rather than assume either way. When a job needs a permit, like one that adds a circuit or changes ductwork, we get it from the city and take care of the paperwork. If we aren't sure, we call the department before we start. You can ask your own questions on its residential line at 806-775-2087, Monday to Friday, and request a Residential Plans Examiner.
In Lubbock, anything attached to an existing house counts as an addition no matter how small it is, and it needs a permit with plan review under the codes the city has adopted, including the International Residential Code and an energy code. The contractor on a new home or an addition has to be registered with the department, so ask about that before you hire. We do the same foam work in Wolfforth, Slaton, Levelland, Plainview, Littlefield and Brownfield, where most closed-cell calls are for rim joists, rooms over garages and shop buildings, and we check with each city's building office the same way.