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sell (one) on (something)
To convince or persuade one to do something or to accept some plane or idea. Often used in passive constructions. I can't believe he sold me on another one of his harebrained schemes. I just don't like the way their customer service agents try to sell you on extra policies or more expensive packages—that's the sales team's job. I wasn't sold on the idea until they showed me exactly how they planned to spend the money.
sell someone on something
to convince someone to do something; to convince someone to accept an idea. Mary sold me on ordering pizza for dinner. John sold Anne on switching long-distance phone companies.
To persuade someone to recognize the worth or desirability of something: They sold me on the usefulness of their new products, so I invested in their company.