Son has endured a busy summer as he played for South Korea at the World Cup and then helped them to win the gold medal at the Asian Games, a tournament victory that ensured the 26-year-old would be exempt from military service.
On Wednesday, he was fined £50,000 and banned from driving for 20 months after admitting drink-driving.
Manager Pochettino said: 'I think of course he is the first to regret about everything. "He said he is sorry and he is a man and accepts his mistake".
"He's punishing himself, but of course we're not God, that we can judge people". "He apologised to everyone - the staff, the club, the fans, us - and he said "any decision that you take gaffer, or the club, I think is fair".
Mauricio Pochettino says Hugo Lloris will learn from his chastening "life lesson" and has no concerns that his goalkeeper's public shaming will affect his performances when he returns from injury. It's a massive lesson to everyone'.
"Drink-driving is completely unacceptable, I take full responsibility for my actions and it is not the example I wish to set".
'I am learning a lot!' Pochettino joked.
Foyth has now returned to training, however, but Sissoko is not expected to resume training with the group again until next week.
Tottenham have won three of their first four matches and are placed fifth in the English Premier League.
"(We are) disappointed because we are going to miss him for maybe this game and against Inter Milan in Champions League", said Pochettino.
"I told him today: 'Where is my present, Sonny?" We are in a situation that is under control.
"When something happens we are going to communicate the news as soon as possible", he said.