Ambrose has warned Kane against forcing his way out of the Tottenham Hotspur Stadium in search of a new club.
Kane reportedly made his intention to leave North London known towards the end of the 2020/2021 season.
The 27-year-old is obviously one of the best marksmen in the Premier League since he rose to prominence but has no silverware to show.
Kane is said to be looking for a club which can match his ambition and the likes of Manchester City are said to be yearning to sign the England international.
Kane is currently on holiday after his involvement with England in the Euros and Ambrose tells his compatriot not to go AWOL.
“You should always return. You’re under contract,” he told talkSPORT.
“A gentleman’s agreement means nothing, absolutely nothing – particularly if Daniel Levy is like we know he is. He’s notoriously hard to deal with.
“He’d have said everything to get Kane to sign the contract initially.”
“He’s Tottenham’s main man and idolised by the supporters. I think he’ll tarnish any reputation and anything he brings to Tottenham by doing this,” Ambrose added.
“He’s the England captain as well. I honestly can’t see him not turning up.
“I don’t know him personally but he seems like such a professional guy.
“If he refused and Daniel Levy doesn’t get the offer or money that he wants, he could just say: ‘Don’t come back in then.’”