Bale left White Hart Lane after securing a world record £85m move to Real Madrid last summer and played a big role in helping the Blancos win their 10th Champions League title in May.
However, the 25-year-old, who spent six years with Spurs, says that he has retained an affection for the club and its fan and refused to rule out a potential return one day.
"I'll never forget the great European nights at White Hart Lane. They were amazing," Bale told BT Sport.
"Tottenham will always have a place in my heart. I hope the fans still love me even though I've moved on.
"I love Spurs fans; you never know, I could come back one day."
Bale fired 55 goals in 203 Tottenham appearances, 38 of which came in his last two seasons in North London.