So how to we get people to listen to us? The most important thing actually starts with you. You need to develop the skill of listening. Paying close attention to someone lowers their social anxiety and makes them more open minded. It creates as space of psychological safety and individuals can begin to notice contradictions in their own assertions to others. Additionally, people often begin to tolerate contradictory thoughts and emotions from others. They begin to hold less extreme and firm opinions which is the hallmark of being open to other ideas.
Additional helpful strategies include avoiding distractions like cell phones and showing empathy and other relevant emotions with non verbal cues like smiling and head nodding.
A final thought to consider is reading the environment to determine if this is the best time and place for the discussion. It is better to postpone a weighty talk to a time when you can give your full attention.