We are not aware of any law or rule that would require you to provide a copy of the actual wire confirmation. You should, of course, check your account agreements, which may require you to provide the receipt or some other notification for outgoing wires.
Regulation J, which governs funds transfers through FedWire, does not impose a requirement to provide a confirmation or receipt to a sender. See 12 CFR 210.25 et seq. Likewise, Article 4A of the UCC, which governs wire transfers, does not impose any notice requirements on the sender's bank (although it does require the recipient's bank to notify the recipient). See 810 ILCS 5/4A-404(b). In addition, you likely have agreed to follow certain security procedures, which might include, among other safeguards, an agreement to provide notification or receipts for all outgoing wires. See 810 ILCS 5/4A-202(b).
Irrespective of the above, your customer has a duty to inform you that a wire transfer was unauthorized or erroneously executed within 90 days after you provide notification of the wire. 810 ILCS 5/4A-204810 ILCS 5/4A-304. Your customer also must object to any wire transfer within one year after receiving any notification that reasonably identifies the order. 810 ILCS 5/4A-505. For these reasons, it may be prudent to provide some sort of notification of a wire transfer, but that notification does not need to take the form of a copy of the wire confirmation receipt.
Also note that if the wire transfer is to a foreign country, Regulation E’s international remittance transfer rules may apply. International remittance transfers include any electronic transfer of more than $15 from a consumer to a recipient in a foreign country. See 12 CFR 1005.30(e). Regulation E requires a transfer provider to provide certain disclosures for international remittance transfers, but it does not require the provider to include a copy of the wire confirmation receipt. 12 CFR 1005.31(b)(1) and (2).