The most peaceful method to resolve a conflict among the options you've provided is A: give each person time to explain their side.
This approach promotes open communication, encourages active listening, and allows each individual to express their feelings and perspectives without interruption. By listening to each other's viewpoints, parties can better understand the underlying issues and work towards a mutually agreeable solution, fostering collaboration and empathy.
Options B and C may inadvertently heighten tensions, while option D can lead to feelings of disempowerment or resentment, as the parties are not directly involved in shaping the outcome.