U.S. Paramount+ has a different package from the French service. Sports such as the Champions League can have separate French broadcasters, so compare the exact event instead of assuming it is unavailable locally.
Start with your existing subscriptions. If your Canal+ package includes Paramount+, follow its activation instructions and check the French catalogue before buying another plan or a U.S. connection.
Network configuration varies by operator and plan. When testing a VPN connection, check both IPv4 and IPv6 on the device you use; an address family that bypasses the VPN can expose a different location. Do not infer your household's IPv4 configuration from national adoption figures.