I didn't ask my college students to introduce their name + pronoun
Huh? Is this because you don't like to confirm pronouns or is there another reason?
Yes, they have been being so hard to manage in a class for a few weeks.
I can see how their behavior would be disruptive. From what you've told me, it's hard to know if the name-pronoun thing is the problem. Why not just ask them for feedback about the issue?
I didn't know I should do that.
Well it is just a suggestion and you're free to do what you want, but I think that things would be easier for you if you just asked the class what they want. You may find that they agree with you and then you won't have to worry.