If you're familiar with picking (selecting 3D objects with your mouse) you could go with a technique akin to that. You unproject your desired screen space coordinates to get a coordinate in world space where you can put your object so it remains in a fixed spot on the screen. You'll have to do this each frame if the camera is moving, but this way you can apply your desired rotation to the object and then translate it to this worldspace coordinate you obtained by unprojecting. This is probably only worth the hassle for real 3D models though (for example previewing an upgrade in your UI); for the 2D UI stuff it might be more useful to turn to sprites.