The 24-year-old made 116 appearances under Pochettino at Spurs.
"[Pochettino] was massive for me - he gave me my debut and he brought me through," Winks told Sky Sports.
"Especially in a time when young lads coming through the academy were never really given a chance in the Premier League.
"It was always going to be tough to do that, especially at a club like Tottenham, but he kept faith in me. He wouldn't let me leave or go on loan, believed in me, and gave me my big opportunity."