You could say you dug your heels in. Someone digging their heels in the ground would be difficult to move.

你可以说你坚持拒绝（dug your heels in）。固执己见（dig one's heels in the ground）的人会很难说动。

But if you can, you know, dig your heels in, New York will make you a better person.

但如果你能坚持下去，纽约会让你成为更好的人。