With that cable length it will probably not matter.
There are other factors at play though. First, the DAC in your CD player is either natively balanced or single ended. I would find out. With my CD player, the balanced output is almost directly coupled to the DAC, the unbalanced output goes through another buffering stage. This can make an audible difference.
The other thing is that balanced IC's can sound different than SE IC's to some extent, but the far greater difference will be how the equipment sounds out of either one of it's outputs or inputs (if your amplifier has both). With amplifiers the grounding scheme and input stage of amps can chage pretty drasticaly depending on what type of input the amp uses, and similar things apply to the output of a source.
Maybe this helps, maybe not, but find out what DAC your CD player uses and report back, or just listen, thats the true test.
-Paul