The United left-back was this week reported to be unhappy at Old Trafford and the timing of these comments, albeit in the epilogue of a new book about the Argentinean coach, will lead to further speculation that he could soon be sold by Jose Mourinho.
Shaw played under the Spurs boss at Southampton during the second half of the 2012-13 season as Pochettino led Saints to an eighth-placed Premier League finish.
The England International made a £30million move to United at the end of that campaign.
In the epilogue of Spanish writer Guillem Balague's new book "Brave New World: Inside Pochettino's Spurs" the 22-year-old outlined his fantastic relationship with the Argentine and suggested Pochettino would like to work with him again as well.
"I think with Southampton he achieved the impossible. We were one of the best footballing teams in the league...I do hope that I can play for him again one day. And I think he really wants me to play under him again," Shaw wrote.
"He used to call me his son, that's how good our relationship was. I've had lots of ups and downs, but when I was with Pochettino it was only ever up, up, up.
"He made me feel that I was the best. He'd show me clips of my games and say, 'You should do this better'. Not in a horrible way. Not I could have done better, but I should have done better, because he knows I can be better."