If you say that someone has palmed something off on you, you feel annoyed because they have made you accept it although it is not valuable or is not your responsibility. I couldn't keep palming her off on friends Joseph made sure that he was never palmed off with inferior stuff
If you say that you are palmed off with a lie or an excuse, you are annoyed because you are told something in order to stop you asking any more questions. Mark was palmed off with a series of excuses