The 43-year-old, who was heavily linked with a move to White Hart Lane after Andre Villas-Boas' dismissal, says he would be open to a move to the Premier League.
"Those two clubs [Liverpool or Tottenham] are clubs that I think in the future I could be a manager of," De Boer told the BBC. "I think the history of the clubs and what you can do with the team is my cup of tea. But I'm not really thinking about it because I'm very happy here at Ajax. I'm not in a hurry to leave because everybody is still happy with me.
"I step in my car with a big smile to go to the club. I don't think I'm finished here but there will come a time when I don't like it any more or the club doesn't like me any more. Then we have to part ways."
De Boer confirmed that both Liverpool and Tottenham have approached him in the past, while he also revealed he turned down the chance to take charge at White Hart Lane after Villas-Boas was sacked in December.
"Tottenham called my boss with the possibility after sacking Villas-Boas but I said: 'No, right now it's not the right moment,'" he added.