You need a different type of Merchant account to take payments over the phone. You'll need to talk to your bank about this as the insurance and compliance are very specific for taking credit card payments over the phone. If, however, you're able to receive approval from your bank/card processor to process such payments, AirPOS will work perfectly fine - you'd simply process the payment in AirPOS as usual and select "Card" as the tender type to record the sale in the AirPOS back office.

Please have a look at the following site regarding PayPal Here payments over the phone.