The phrase "oils someone's palm" is commonly used to describe a situation where someone bribes or pays off another person. However, there are many synonyms for this phrase that can be used to convey the same meaning. Some examples include "greases someone's palm," "slips someone some cash," "sweetens the pot," "pays hush money," and "offers a kickback." These phrases are often used in situations where there is an exchange of money or other incentives in order to gain an unfair advantage or secure a desired outcome. By using these synonyms, writers and speakers can add variety and nuance to their language while still conveying the intended meaning.