Yes your parents can e-file. If you said you could NOT be claimed as a dependent and they tried to claim you ---their return would be rejected. But the reverse does not happen. You do not block them from e-filing by saying that you can be claimed.
You say that your refund increased when you changed the answer in My Info to say you cannot be claimed----you can decide if you want to pay the extra fee to upgrade if the higher refund is worth it. We do not know what else changed when you changed your answer about being claimed, since we cannot see your information.
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
