I'm afraid I must disagree with the suggestion that green on the walls will tone down the brick. Actually, the opposite is true...colors that are opposites on the color wheel will bring up the color in both...so green makes orange look twice as orange, and yellow makes purple much stronger. We dealt with the same issue by painting our walls a soft neutral, and then putting a four to one mixture of water and paint in a bucket, washing it onto the brick chimney wall with a big paintbrush, and patting it down with a handful of cotton rag. This method works wonderfully to control the look, and keeps the variety among the different bricks, while tying it all into the room in a much more sophisticated way. It took one morning to do the whole thing, and gave the effect more of stone than brick. I wanted the hearth to relate to the dark floor rather than to the wall, because it keeps the brick wall from intruding visually into the room area...so I painted the inside of the firebox and the whole brick hearth flat black. Then I brushed a second coat of semi-gloss black just over the surfaces of the hearth bricks themselves, which made the whole thing settle into the floor. The grout stayed flat and shadowy, the nooks and crannies likewise, and the effect was much more natural than the dustiness of just flat black, or the fakey plasticky-ness of all semigloss. You could do the same thing with a deep tone of your carpet color. I wish I had a photo to show you. It looked wonderful, if I do say so myself!

I was just asking for the same advice yesterday from this group... we also have an orange roof and brick . I went and found jungle Camouflage by Behr and the trim is a creamy white that I do not have the name in front of me. They look really nice against the orange. Someone also suggested bronze windows which we are considering along with our front door. The orange is definitely tricky .

I like the one that @Beverly likes. Not to be snarky, but contractors aren't always the best people to choose colors for you. But if the product rep says a color looks purple when installed, THAT I would pay attention to.

Post a photo of what else is around it. The floor? The walls? What are you looking to do with this new color - paint the walls? Add more furniture? Way too vague of a request.