The Argentine was sacked on Tuesday after five years at the club.
Pochettino handed Winks his Spurs debut in 2014 and the England international remains forever indebted to his now former coach.
"I've said many times and I will always say it, I've got everything to thank the gaffer for," Winks told Talk Sport.
"He gave me the opportunity and I wouldn't be who I am today if it wasn't for him.
"Of course I've had to work hard to get here, but getting that opportunity in the first place is always difficult and I'm forever thankful to the manager for giving me that opportunity."