There are various alternatives to the term "request permission." Some options include "ask for approval," "solicit consent," "seek authorization," and "obtain clearance." All of these phrases convey the same idea of seeking permission or approval from someone in a position of authority. Depending on the context, one phrase may be more appropriate than another. For example, "obtain clearance" may be used in a military or aviation setting, while "ask for approval" may be more common in a workplace or school environment. In any case, it is important to use clear and precise language when seeking permission to ensure that there is no confusion or miscommunication.