Zinedine Zidane guided Madrid to LaLiga and Champions League glory last season but the Frenchman is fighting to keep his job amid the club's struggles in 2017-18.
Pochettino has been linked with Madrid amid uncertainty over Zidane and the former Espanyol boss refused to rule out a switch to the Santiago Bernabeu.
"I am so clear," Pochettino said. "I am never going to be manager of Barcelona or Arsenal because I am so identified with Tottenham and Espanyol. I grew up in Newell's Old Boys and will never manage Rosario Central.
"That is my decision because I prefer to work on my farm in Argentina than in some places. But my commitment is massive in this club. I am working like I am going to be here forever.
"But in the end, it is like the players, you never know what is going to happen in football. It is a lot of rumours about this, about that.
"Tomorrow [Tottenham chairman] Daniel Levy could have a bad night and say, 'Oh I am going to sack Mauricio'. And then I look stupid saying I am not going to work in one place or another or another.
"You never know in football. That is the problem. It is a very unstable situation."