There are various synonyms for the phrase "pinning medal on." These include "awarding," "placing," "distributing," "presenting," and "granting." Each of these words carries its own connotation and can be utilized depending on the context and desired tone of the sentence. For example, "awarding" implies a formal and official recognition, while "presenting" suggests a more personal and casual interaction. Regardless of the word chosen, the act of pinning a medal on someone is a momentous and meaningful gesture, representing a recognition of accomplishments and achievements.