what's I got this error: Cannot find a process with the name "Ethernet0". Verify the process name and call the cmdlet again. #20082

$_.Name there is an adapter name such as Ethernet0. Get-Process -Name looks for an executable/process name, so it cannot use that value to find processes with connections. Get-Process also has no NetworkConnections property.

For processes with established TCP connections on Windows, use the connection's OwningProcess ID:

Get-NetTCPConnection -State Established |
    Select-Object -ExpandProperty OwningProcess -Unique |
    ForEach-Object { Get-Process -Id $_ -ErrorAction SilentlyContinue }

This lists TCP connections across the machine's adapters. A process can exit between the two commands, which is why the lookup handles a missing process. For a particular adapter, filter the connections by its local IP addresses first. UDP endpoints are available separately through Get-NetUDPEndpoint.

I tested the PID lookup on PowerShell 7.6.5 with a temporary local TCP connection and it found the owning process. See Get-NetTCPConnection and Get-Process -Id.