Answer:
I'm a thick slice of beef or other high-quality meat or fish that is often cooked on a grill or fried.
Sauerkraut owes its existence to this head
Patch upon patch, without any stitches, if you tell me this riddle, I'll give you my breeches.
You throw away the outside, eat the inside, and throw away the inside. What is it?
If you take off my skin, I will not cry, but you will. What am I?
Almost everyone needs it, asks for it, gives it. But almost nobody takes it.