Pressure from above has occurred at Madrid in previous years, while the influence of chairman is growing in modern football.
However, Ancelotti has said that he has the final say on matters regarding team selection.
"I've worked with presidents who are intelligent enough not to ask a coach to pick one player or another," he told Radio Cope.
"If [Florentino Perez] ever asked me then I could leave."
Ancelotti won a Champions League and Copa del Rey double during his first season in charge of Madrid last term.