The Belgian who is the current manager of Bayern Munich played under the Spaniard for three seasons at Etihad Stadium.
Impressed by his performances, Bayern president Uli Hoeness waxed lyrical about the 39-year-old’s ability predicting he would one day replace Guardiola at City.
"I've often said, I'm not here to comment on Uli Hoeness' statements. I have huge respect for him,” said Kompany.
“But in football I can't think that far ahead, my focus is on Bayern and what we can achieve now.
“I like to just live in the world I have in front of me now, that takes up all my time. I have zero thoughts about other teams, I only see FC Bayern."
Kompany helped the Bavarians regain the Bundesliga title in his first season in Munich and they currently enjoy an impressive form in all competitions.