The Dutchman launched a scathing attack on former Reds midfielder Jordan Henderson.
The Englishman has signed for Ajax in the Dutch Eredivisie in January, moving back to Europe from the Saudi Pro League.
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Van der Vaart told Dutch TV: "Ajax have brought in players with zero quality. The club will now have to see out the rest of the season.
"They have brought in Jordan Henderson. All he does is to play a little pass out wide, or a little pass back.
"But nobody will be happy with that.
"You'll see on Thursday that they will get through their Conference League tie against Bodo/Glimt with all the luck in the world.
"Afterwards it's best for them to get knocked out, and to make a fresh start next season.
"As an Ajax man my heart bleeds. I don't know what I can say about them any more."