Chamberlain tends to be more offensive than any other Liverpool midfielder, said former Blackburn and Reds left-back.
This means Liverpool are likely to leave gaps between midfield and defense, which opens them up for counterattacks.
But Warnock praised Chamberlain for his ability to drive among opposition players and for taking risks outside the box.
"Oxlade-Chamberlain and Keita were getting ahead of the ball when Liverpool lacked proper possession, which meant they were both out of play when Genk counterattacked," Warnock told BBC Sport.
“Overall, Oxlade-Chamberlain's performance was still a big positive as he continues his comeback from the serious injury that made him lose most of last season.
“He had more than 70 minutes on his legs and showed all his attacking qualities.
"What he does differently than the rest of Liverpool midfielders is to kick from outside the box, as he brilliantly showed with his two goals in Belgium. His second of the night was an outrageous end.
“In addition to always trying to shoot, he drives beyond people and seeks to compromise opposition players – which is good news for Liverpool as they advance.
“But they still need to find the right players because they need to make sure they are solid enough too.
“Fabinho made his first choice to sit in the middle of the three as midfielder, whoever is there.
"But in the first half against Genk he didn't have enough defense help."
Liverpool beat Genk 4-1 in Belgium and were second in the Champions League group.
Klopp's team are now just one point behind group leader Napoli, who beat Liverpool in Italy on matchday one.
Chamberlain scored twice in his first Champions League appearance for 18 months.
Sadio Mane and Mohamed Salah completed the defeat before Genk's Stephen Odey scored a consolation goal in the 88th minute.