Is it permissible to work as a salesperson at a gas station that sells lottery tickets (lotto) in America?

What you mentioned about the presence of a "lottery" at the gas station could be one of three things:

First: Buying gasoline and receiving coupons for a car drawing or free car wash coupons. This type is permissible.

Second: Buying the well-known lottery tickets independently. This is forbidden because it is gambling, and it is not permissible to sell them or assist in their sale.

Third: If you have no role in distributing these tickets, whether there is a dedicated employee for them or a machine, then there is no harm in you working at the station.