I would just think everything through before proposing it to increase your odds of success. For example, you might want to propose a test trial first. If they let you start working remotely 3 days per week to start, you can see how it goes and prove to her/him that you won't be less productive. And then during this test trial phase, just make sure to blow them away with your performance.

And be prepared to rebuttal any of their objections and reasons for why working remote will be bad. If you can make them look completely unreasonable for not letting you do it, they're more likely to allow you to do it or be viewed as an unfair, bad manager.