The England international took some time to break into Klopp’s starting line-up upon his arrival from Arsenal in the summer.
But he has started five of Liverpool’s last eight Premier League matches and has impressed with his performances as part of Klopp’s fearsome forward line.
He was rewarded with the man of the match for his display in the 4-1 win over Bournemouth at the weekend.
And he could be set to play against his former side tomorrow (7.45pm) when Liverpool travel to the Emirates.
Klopp has repeatedly asked for patience over Oxlade-Chamberlain’s development.
But the German coach believes the Gunners missed a trick by not allowing Oxlade-Chamberlain the creative freedom he has been afforded at Liverpool.
“I think the biggest improvement, or the biggest potential he still has, is really being involved in goalscoring situations, because he has it in himself,” Klopp said.
“It is unbelievable. But he was not asked for this too much I think in the past.
“If you watched Arsenal in the past, the two decisive players were (Alexis) Sanchez and (Mesut) Ozil.
“In a lot of moments, the decisive passes, Ozil or Sanchez. Or (Olivier) Giroud when he is coming on the pitch. Then you are not that much involved.
“Here, we put it on much more shoulders, and if he’s on the pitch he needs to be involved in situations like this.
“So I’m fine for the moment, it is all good, but I see really a lot of space for improvement as well, and that’s good.”