General:
* Granted
* Allowed
* Permitted
* Approved
* Accepted
Specific to situations:
* Affirmed (for statements or claims)
* Confirmed (for facts or information)
* Admitted (for guilt or responsibility)
* Acknowledged (for a truth or existence)
* Endorsed (for a proposal or idea)
The best antonym for "denied" will depend on the specific context of your sentence.