Achterberg, who is leaving along with most of Jurgen Klopp's staff, spoke about defender Nat Phillips.
He seemed to indicate that the 27-year-old may finally get the move he wants.
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"Thank you, Boss, for showing belief in me, and for giving me the opportunity and privilege to represent Liverpool," wrote Phillips to the coaching staff on social media.
"I'll be forever grateful for the experiences I've had and the moments we have shared together."
Achterberg, who is joining Al-Ettifaq, responded by saying: "You're a good defender Nat! Good luck in your next move."