There is an essential difference between changing something which may be an annoying habit and changing someones personality or way of being in the world.
And the bottom line is that the only person we have the power to change is our own self.
Trying to change someones basic personality is both annoying and insulting to that person. A lot of basic personality traits are inborn. Kids who are introverts will grow up to be introverted adults.
If they are highly motivated within THEMSELVES for some reason (perhaps a job they desire) to change, they can modify this tendency but they will still always be introverts at heart.
It’s how they feel comfortable being in the world. It’s their natural personality.
If you want something to change it would be a lot more helpful to work on why this personality of theirs is so aggravating that you constantly feel that you have to “put up with it.”
If you can’t manage to do that then how can you reasonably expect them to undergo an entire personality transplant just to suit you? I mean, really, just think about it for half a minute.
And if you find that you can’t change your reaction to them then just move on and find someone else with the personality traits you prefer. It’s a lot easier and more pleasant for both of you.