The term 'persuade with flattery' can be summarized by two crossword solutions: CAJOLE (6 letters) and COAX (4 letters). Cajoling is a form of persuasion that involves using flattery, compliments, or other forms of charm to convince someone to do something. Coaxing is a similar form of persuasion, but it is more subtle and involves gentle encouragement or enticement. Both cajoling and coaxing are used to persuade someone with flattery.