This phase I trial tests the safety and effectiveness of indium In 111 panitumumab (111In-panitumumab) for identifying the first lymph nodes to which cancer has spread from the primary tumor (sentinel lymph nodes) in patients with head and neck squamous cell carcinoma (HNSCC) undergoing surgery. The most important factor for survival for many cancer types is the presence of cancer that has spread to the lymph nodes (metastasis). Lymph node metastases in patients with head and neck cancer reduce the 5-year survival by half. Sometimes, the disease is too small to be found on clinical and imaging exams before surgery. 111In-panitumumab is in a class of medications called radioimmunoconjugates. It is composed of a radioactive substance (indium In 111) linked to a monoclonal antibody (panitumumab). Panitumumab binds to EGFR receptors, a receptor that is over-expressed on the surface of many tumor cells and plays a role in tumor cell growth. Once 111In-panitumumab binds to tumor cells, it is able to be seen using an imaging technique called single photon emission computed tomography/computed tomography (SPECT/CT). SPECT/CT can be used to make detailed pictures of the inside of the body and to visualize areas where the radioactive drug has been taken up by the cells. Using 111In-panitumumab with SPECT/CT imaging may improve identification of sentinel lymph nodes in patients with head and neck squamous cell cancer undergoing surgery.