You should be able to get some form of pro-rata refund. Here are the details from the AppleCare agreement:
For Monthly Plans:
To cancel a Monthly Plan immediately and receive a pro rata refund based on the percentage of unexpired time remaining on Your Monthly Plan Term, you may:
(A) Go to If you want to cancel a subscription from Apple - Apple Support on Your Covered Device and select the links for “Cancel a subscription” and “AppleCare+.” If You do not see Your Plan when you try to cancel it, You may need to finish setting up Your account with Your Apple ID. For further assistance, please refer to Cancel or change the payment method for your AppleCare plan - Apple Support; or
(B) Call Apple at 800-APL-CARE (800-275-2273) or your billing provider if not Apple (i.e., a Reseller); e-mail Apple at ac_plus_cancellation@apple.com; or send written notice to Agreement Administration, MS: 217-AC, 2511 Laguna Blvd, Elk Grove, CA 95758, U.S.
a. If e-mailing or sending written notice to cancel Your Monthly Plan, please provide your Covered Device’s Serial Number, Your Plan Number, Your Plan’s original proof of purchase, and contact information.
You may also:
(A) Turn off your next Monthly Plan renewal through (i) your billing platform, or if available, (ii) through the account settings on your Covered Device, in which case cancellation will be deferred until midnight on the last day of the month for which your last monthly payment was paid. Your Monthly Plan will remain active until the end of that month at which point it will be cancelled and no cancellation refund will be provided. Your failure to timely and fully make any monthly payment will be deemed an expression of your intent to cancel your Plan and no cancellation refund will be provided.
For Fixed-Term Plans:
To cancel a Fixed-Term Plan, call Apple at 800-APL-CARE (800-275-2273); e-mail Apple at ac_plus_cancellation@apple.com; or send written notice to Agreement Administration, MS: 217-AC, 2511 Laguna Blvd, Elk Grove, CA 95758, U.S. Please provide your Covered Device’s Serial Number, Your Plan Number, Your Plan’s original proof of purchase, and contact information. Unless local law provides otherwise, cancellation refunds will be provided as follows:
(A) Within thirty (30) days of your Plan’s purchase or receipt of this Plan, whichever occurs later, you will receive a full refund less the value of any benefits provided to you under the Plan.
(B) More than thirty (30) days after your receipt of this Plan, you will receive a pro-rata refund of the original purchase price. The pro-rata refund is based on the percentage of unexpired Plan Term from the Plan’s date of purchase, less the value of any benefits provided to you under the Plan.
If your Fixed-Term Plan is financed through a Plan Payment Provider, contact your Plan Payment Provider to cancel your Plan. Apple may return any refund owed to the financing entity who paid Apple for your Plan.
Read more at https://www.apple.com/legal/sales-support/applecare/applecareplus/2209/220907_applecareplus_us.pdf