No get full winter tire setup, you'll need it! Try these forums for further information, there are some great responses as to what works best!
My Winter Rims/Tires Setup: TRMotorsport C2 + Blizzak LM-25 w/TPMS w/pics (AK370Z)
Best winter tires
Show me picture of your Z in the snow! 2-6-10
The last one is for fun, you'll see how many people have their Z's in full out snow, don't be worried about 6" lol
Plus don't fret over this subject now, summer's rolling in now!!! Leave it until september/ october!