However, the Belgium international, who is expected to feature in next month's World Cup, says that his future at Tottenham does not hinge on who chairman Daniel Levy names as the club's new manager.
"I've got a couple more years at Tottenham and I'm happy, and I want to stay there, so it doesn't matter who the manager will be," he told Sky Sports News.
"He [de Boer] is a good manager but there are other good managers as well so, again, the chairman will make a good decision."
Asked whether or not he could showcase his abilities to prospective suitors during the World Cup, Vertonghen added: "I don't think that is one for us because we all play for nice teams already and we just want to do something nice for Belgium, not for ourselves."
The 27-year-old's Spurs contract expires in 2016.