Domain name

[Kobbywise]

Can my customers purchase (Money) reflect on my account  without buying a domain name on zazzle.?

[PenguinPower]

You don’t have to buy anything to open a storefront on Zazzle. They provide you use of the space, the domain remains theirs. You make money if your store makes sales. 

[CreativeLeahG]

Are you asking if customers need to register with Zazzle to make a purchase? If so yes.

Do they need a store name to purchase from Zazzle and open a store? No