Osorio managed Mexico at the 2018 World Cup after taking over the job late in 2015 but currently is without a contract. However, sources told Goal this week that six national teams have been in touch, including Osorio's native Colombia.
Sanchez is confident that no matter where Osorio ends up next, he will be able to find success if he is given the freedom to implement his often unconventional methods.
"I know him really well, and he’s a manager who really puts himself into his work," Sanchez said after Tottenham's 4-1 friendly victory over Roma.
"He’s shown that with the Mexican national team and the other teams he’s been with. I think he works hard and if they let him work - give him the chance and the space to work in his way - he’s going to achieve important things no matter where he is."
Osorio told Sky Sports in 2017 that he discovered Sanchez playing in a kickaround. Then the Atletico Nacional manager, he brought the teenager into the club and converted him from a central midfielder to a center back.
The manager also said he coaxed Sanchez into joining Ajax from Nacional rather than taking an opportunity to go to Barcelona. After one season with the Dutch club, Sanchez joined Spurs as their record signing and helped them to a third-place finish in the Premier League last season.
With so many bits of advice from Osorio working out in Sanchez's favor, it is no surprise the player and coach still speak regularly.
"He gave me a lot in my career and continues to give me a lot. I’m still in touch with him. We’ve got good communication," Sanchez said.
"We’ve met up two times to chat about soccer, to talk about what can happen or what has happened. There’s the friendship, that link that there is between manager and … well, I consider myself another pupil of his. I’m always going to be thrilled and hoping that he’s continuing to do well, as he does toward me."
The 22-year-old declined to say outright that he'd like to play for Osorio as the Colombia manager but has no doubt that the job will be of interest to the manager
"He’s a manager who, I think like all Colombians, dreams of being there," he said. "As a player or as a manager, I think the Colombian national team always will be important."