Be patient with it. If you have sport package, use SRM to figure out what RPMs the Z likes to be at in different gears at different speeds. Then practice, practice, practice. Consider RJM clutch pedal assembly.
There is no need to press the clutch pedal all the way to the floor. This actually puts more stress on the fragile CSC, which is already prone to failure. If you're engaging the clutch and not grinding, then you're probably doing ok