Which AWS service can the company use to meet this requirement?

Explanations:

AWS Direct Connect is a service that provides a dedicated network connection between an on-premises data center and AWS, but it does not function as a cloud router for VPC-to-VPC or VPC-to-on-premises routing.

AWS Transit Gateway acts as a cloud router, enabling the connection of multiple VPCs and on-premises networks. It simplifies the management of network peering relationships by acting as a central hub for routing traffic.

Amazon Connect is a contact center service and is not designed to function as a network router for connecting VPCs or on-premises networks.

Amazon Route 53 is a DNS service used for routing internet traffic and domain name resolution, not for connecting VPCs or on-premises networks.