The Dutch midfielder gave Liverpool the perfect start with a stunning fifth-minute strike before Chelsea fought back through Enzo Fernandez to earn a point.
Tension inside the stadium began to rise when Arne Slot substituted teenage winger Rio Ngumoha midway through the second half.
Boos followed.
A second wave of frustration then came at full-time, with sections of the crowd voicing their anger after another disappointing result in a difficult campaign.
Gravenberch did not hide his feelings.
“To be honest, we need them behind us.”
“I don’t really think we deserved this reaction.”
The midfielder urged supporters to stay with the team as Liverpool continue their fight for Champions League qualification.
“The fans have to be behind us for the full 90 minutes.”
“When they were behind us in the second half, we were pressing really well.”
Liverpool remain in the hunt for a top-four finish, but pressure around Slot’s second season continues to grow after another frustrating afternoon at Anfield.
For Gravenberch, the message was clear. Liverpool still need points. But right now, they may need unity even more.