Family members were illegal immigrants from the United States and were sent back to China. Can children go to America?

The most important consequence of illegal immigrants in the United States is that they will be restricted from entering the United States for a certain period of time (please note: even if they apply through legal channels, they will be rejected by the Immigration Bureau before this period expires). Therefore, it is difficult for your father to re-enter the United States before the expiration of the prohibition period, unless he has special circumstances and applies for exemption through a lawyer. However, your father can re-enter the United States after his restriction period expires.

As for your visa application in the United States in the future, in principle, it will not be affected by your father's violation of immigration laws. As for going to other countries, it will basically have no impact. So don't worry too much.