There is really no way, at least from the point of view of the CRAs, to "rescind" an inquiry.
Once the CRA has sent a copy of your credit report, the cat is out of the proverbial bag, and cannot be undone.
The CRAs must retain a formal record of their having sent the report, so they are not going to "delete." They consider that their having filled a request for a credit report becomes a fact that cannot be undone.
The appropriate procedure would be for the consumer to request that the creditor have their inquiry recoded from a hard to a soft pull.
A soft pull is one that is only viewable by the named consumer, and thus cannot be shown in any credit report provided to any other party, or included in your credit scoring.
The FCRA does not place any restrictions on a creditor that limits them to a single pull once they have permissible purpose.
If a creditor makes multiple pulls under the same permissible purpose, recourse would be informal complaints to their management, or a complaint to your local BBB, asserting a poor business practice that is hurting your credit score. There is no basis for a dispute or a formal complaint to the CFPB for non-compliance with any provision of the FCRA.
