"I got time,"
Cesar just received a letter from Arnold that he should meet him once the three days are up but that was only it. After that, it's almost as if he was forgotten but understanding that the Headmaster's position had to take care of the students of the Academy, not just him, he's obviously not an exception.
That's why he had to approach him, not the other way around. It's not because he's forceful but just the way to respect a person who has been helpful to him. He wasn't asking anything in return aside from the fact that he did his duty as a student.
And finally, the travel that tirelessly took half an hour came to an end when Cesar reached the Headmaster's Chamber.
Knock—
"Sir? Cesar Sparrow here,"
After knocking once, Cesar had to wait for Arnold's reply which came a few seconds later.
"Ah, Cesar. Right, come inside."
