Não, Sauron segurou os Anéis dos Nazguls.
É mencionado em alguns lugares:
Carta 246:
... Sauron, who still through their nine rings (which he held) had primary control. ...
Comunhão do Anel, quando Gandalf diz a Frodo,
"the Nine [Sauron] has gathered to himself; the Seven also, or else they are destroyed."
Contos inacabados:
Sauron’s “mightiest servants, the Ring-wraiths, who had no will but his own, being each utterly subservient to the ring that had enslaved him, which Sauron held.”
...
the Ringwraiths “were entirely enslaved to their Nine Rings, which [Sauron] now himself held”.