FWIW, using Windows ping.exe under Wine:
Pinging 0.0.0.0 with 32 bytes of data:
Reply from 127.0.0.1: bytes=32 time<1ms TTL=64 Reply from 127.0.0.1: bytes=32 time<1ms TTL=64 Reply from 127.0.0.1: bytes=32 time<1ms TTL=64 Reply from 127.0.0.1: bytes=32 time<1ms TTL=64
Ping statistics for 0.0.0.0: Packets: Sent = 4, Received = 4, Lost = 0 (0% loss), Approximate round trip times in milli-seconds: Minimum = 0ms, Maximum = 0ms, Average = 0ms