Yes, your baby can get Indian citizenship. Since the baby is born in the U.S., they will automatically receive U.S. citizenship. You can then apply for an Indian passport or an OCI (Overseas Citizenship of India) card for your child.

Once the baby is born, you will receive a U.S. birth certificate and passport for the child. With these documents, you can apply for an Indian visa or OCI card, which allows you to bring the baby back to India without any legal issues.

If you cannot travel to the U.S. for the embryo transfer, your fertility clinic can guide you. In some cases, you may be able to send your genetic material (sperm or eggs) to the U.S. clinic, and your presence may not be required for the embryo transfer itself.