Roy Hodgson's Three Lions held the home side to the stalemate in Kiev to stay top of Group H in their World Cup qualifying campaign, but Keown was critical of the Tottenham Hotspur defender after the game.
"Kyle Walker had a torrid time against Ukraine winger Yevhen Konoplyanka," Keown told the Daily Mail.
"The 23-year-old Dnipro man is incredibly fast and Walker struggled with that. The Tottenham defender is used to relying on his pace to get him out of trouble but Konoplyanka was faster than him.
"He has to read the danger earlier, otherwise he'll give more free-kicks away in dangerous positions like in the second half."