It depends. If Coinbase doesn't have a presence in that country (registered company, licensing, employees) then they most likely don't need to follow their laws

It depends. If Coinbase doesn't have a presence in that country (registered company, licensing, employees) then they most likely don't need to follow their laws, and could make an argument that they are operating purely on a cross border basis. However, if Coinbase started advertising their services in that country, then that country's regulators might start getting upset (just as US regulators get upset with any company that supports online gambling, even if they are not based in the US).