You can change the appearance of multiple selected vector objects by using the Hue, Saturation, and Lightness bitmap effect. Just click Effects > Adjust > Hue/Saturation/Lightness to access the controls.
Tip provided by Pratik Shah, CorelDRAW Master, Graphic Designer & Trainer.
It should, but there is a specific situation where it won't. It will be fixed with the next update for X6 that we will release in the second half of 2013.