The England iinternational, who claimed he was worth far more than he is currently paid - in an interview with The on Thursday, is still a key member in Pochettino's Lilywhites.
When asked if Rose, who has been fined two weeks' wages, has a future at the north London club, the Argentine said as the Mirror: "Of course.
"Nothing has changed in my vision or perception here. The moment he apologised we moved on and it was the past.
"It was good for him to apologise. Now we move on.
"I haven't spoken to him today because he's injured and is recovering from his problems.
"We have different timings and dynamics at the training ground. I'm sure I'll see him tomorrow.
"The player is calm and were calm. I forgive him and now we move on."