Defoe scored either side of half-time to ease the home fans' nerves as Spurs battled back from a goal down to book their place in the quarter-finals of the competition with a 3-1 win.
"It's good to see Jermain back scoring," Redknapp said.
"He is a good finisher and he is a good player. He must have a chance (of an international recall). That is a problem area for England. There is a shortage of top strikers and Jermain is up there with the best of them when he is sharp and on form, and he is looking sharp at the moment.
"I have been delighted with him."