When looking for synonyms for the phrase "give a permanent", there are several options that convey similar meanings. For example, "permanently assign" or "permanently designate" can be used to indicate that something is being assigned or designated for an indefinite period. "Endow with permanence" also carries a similar meaning, indicating that something is being given a permanent state or quality. "Grant indefinitely" and "give a long-term" are two additional options that can communicate the idea of something being given for an extended period. Regardless of the specific words chosen, the goal is to convey the idea of something being made permanent or lasting indefinitely.