Acetaminophen is readily detected by HPLC using UV. Likely that your lab doesn't have that, though. I'm not a huge fan of "making do" when HPLC is such a standard piece of equipment these days. And, if this is for pharmaceutical analysis (which is likely), HPLC would be the best to use.
That stated: for any GC I would make trimethylsilyl derivatives, and use external standard quantitation. I'm assuming that you have a GC autosampler; if not, your lab is 1970s.
my lab is not equiped with HPLC yet, but I hope that in future (aprox. 2 month) it will be purchase. I do have a GC autosampler and i'm waiting to receive an MS for my GC next month (I'm hoping that it will be much easier then), anyway until that day I must quantify acetaminophen tomorrow and I'm very cloudy at this moment about it, but thank you