The phrase "presses hand" can be replaced with a variety of synonyms depending on the context in which it is being used. Some alternatives include "squeezes hand," "clasps hand," "grips hand," "holds hand," "shakes hand," or "touches hand." Each of these synonyms conveys a slightly different meaning or level of intimacy, so it's important to choose the most appropriate term for your particular situation. For example, "squeezes hand" may imply a stronger emotional connection or solidarity with the person, while "touches hand" is more neutral and could indicate a gesture of comfort or support.