Yes you do! Recipient’s contact information is very crucial when shipping internationally.
FedEx will reach out to recipient via phone call/email if they require more information for clearance/delivery of the shipment.
We’ve had packages rejected and returned back to Singapore (at shipper’s cost) due to uncontactable recipient, so do ensure that the recipient details are valid and accurate.
For those who are unable to provide recipient’s telephone number/email, you may indicate your local number as the recipient’s contact number if you understand and accept the risks of the package getting returned.