The phrase "makes presence felt" conveys the idea of someone or something being noticeable or influential. Some synonyms that could be used in its place include "asserts itself," "imposes itself," "dominates," "commands attention," "leaves an impression," "makes an impact," "exerts influence," "stands out," "pervades," and "makes its mark." Each of these phrases emphasizes the idea of a strong impression or effect. Using synonyms can help to add variety and nuance to your writing, preventing it from feeling repetitive or simplistic.