Kane, 20, has scored four goals in 18 appearances for the Spurs after arriving back from a loan spell at Leicester City in the summer.
And the England Under-21 international has made a string of impressive displays at White Hart Lane since being given his chance by Sherwood.
"He gave me the chance here. I was training well and looking sharp," Kane is quoted in The Sun.
"When he was going to play me, he let me know a few days before and I've been able to repay his faith with the goals.
"Tim knew what I could do. I have known him for a while and he has seen me score goals before. He has just told me to play my game, be confident and express myself.
"Establishing myself has always been a goal for me. Even when I was out on loan, I knew I wanted to come back and play for Tottenham.
"To do that this season has been great - having someone like Emmanuel Adebayor around is helpful too.
"He's been around top clubs in Europe and to play alongside these guys is great. It can only help."