This is a very good question because it brings up a few important points.
- A pocket square can look great on display, but if it doesn't coordinate properly with the rest of your outfit it is a fail.
- It doesn't have to match anything you are wearing but it should compliment the season and the colors you are wearing as well as being appropriate for the occasion/work.
But to address the question: I have a similar bright orange pockets square from Holland & Holland that I wear with a tan/khaki jacket or a deep mossy green jacket with a rust and gold windowpane pattern. The ties need to be muted so I usually wear a heather colored silk knit and always with a blue shirt. I don't have it exploding out of my pocket but you could if you were off to a party. The orange PS can be a nice compliment to khaki pants and a blue blazer to clearly differentiate you from the security guard look.