Remember R.I.C.E (four elements of conflict resolution) :
R= Resource Control, aka who is in power. Sometimes just being "the boss" can help you resolve a conflict because people will listen to you
I= Interpersonal Links/Relationships - if you have a strong network of friends or colleagues it will be easier to resolve a conflict because these people know and trust you
C= Communication Skills- active listening, careful responses, verbal and non-verbal communication etc.
E= Expertise-if you are the expert in a certain subject based on experience education or skills, you will have the authority to help resolve conflicts