I have different advice. Focus less on what your bosses want and more on what you want. Doing what your boss wants is a cost you pay, do as little of that as possible so that you can do the things that you want.
This is an exchange in a market. If Best Buy wants $500 for that new TV, would you go in and offer them $750 for it? If Wal-Mart will sell you the same TV for $400, consider going there isntead.
A fun side story is when I got a new manager a while back. In our first one-on-one, he told me that he has connections through the company and can use them to get me promoted to another team if I make him happy. I get that making the boss happy is part of a job, but that should be accomplished by doing good work. This direct proposition just felt too quid pro quo and had a stink to it, in my opinion.
Was your new manager new to being a manager? I could see that kind of offer coming from an operator, but I could just as much see it coming from someone lacking confidence trying to project a miscalculated sense of authority.
This is an exchange in a market. If Best Buy wants $500 for that new TV, would you go in and offer them $750 for it? If Wal-Mart will sell you the same TV for $400, consider going there isntead.