I don't know in other countries, but in Spain you definitely don't go to the doctor asking for anything more complex than a paracetamol.
You tell the doctor your symptoms, he explores you and perform any tests considered appropriate, and the doctor decides the prescription.
I also come from a country where the doctor decides the prescription.
But you might have prior experience and preference.
A friend of mine always asks "Hey, can you bring antibiotics back?" when I go on vacation somewhere where access is easier.
Doctors here will give you a hard time if you want it.
I think that's how it should be. But sometimes you know you need antibiotics.