Full-back Walker underlined his emergence with a long-range winner in Spurs' North London derby victory over Arsenal prior to the international break.
And since arriving at White Hart Lane this summer, Parker, who has been on England duty with his club colleague in the past week, has been impressed with what he has seen of the 21-year-old.
"Since I have been at Tottenham, Kyle has really stood out," the midfielder told Spurs' official website.
"He is a fantastic player. He is young. He has bundles of energy and is very quick.
"He scored a very good goal last weekend but his performances before that were really good."
Walker spent time on loan at both QPR and Aston Villa last season, but he has played eight times for Tottenham in the current campaign.