Originally Posted by GuitarG20
You should have an option where to save a contact when you save it. I'm not sure about moving contacts, hopefully someone with more experience can chime in.
Interesting. So my phone, has the option, shows specifically, "Save to People".
However, once you select "New Contact" and get the contact editing screen, at the top is a button, "Contact Type", HERE you can select where it saves it, with the options being all your linked accounts that you have set to store contacts on the phone, one being Google.