Don't force it. It's an in-person skill that some people simply don't have, and as an Engineering Manager, I honestly don't think its particularly valuable. I find the quiet folks often have the most valuable insights.
Push for more pre-work before meetings with documents to encourage async discussion at your company. Be the person person that reviews and comments such documents to add insights, and then ensure the person running the design meeting prompts any left over comments while running the meeting, to cover your items.
This is how most forward-looking, remote-friendly companies work now. If you're not in such an environment, then consider moving to one. It will probably work out better for you.