You Have Three Options
Deciding what to do is part of being a leader.
Knowing what the options are helps the leader make a wise choice.
When a team member comes to the leader with a problem, it helps to know what those options are.
I think there are 3 options available to a leader when a team member presents you with a problem. Take the time to find out which one of these the team member is expecting (or prefers) before taking any action or responding.
Option 1: Get It Off Their Chest
Choosing option 1 allows someone to vent and move on. Be clear that once the venting is over, and the person feels heard, the issue ends. Leave it in the room.
Option 2: Coach the Team Member/Guidance
Option 2 is the choice for someone looking to own the solution, but needs help finding a path. In my experience, most people need to either vent (option 1) or want to solve the issue, but need assistance.
If you coach someone to resolve an issue, make sure you check in to see if it worked or if additional guidance is needed.
Option 3: Outside of their Scope
Sometimes, the issue at hand is outside of the scope (or skill set) of authority a team member has. It may require you, or a designee, to resolve. Option 3 always presents the danger of triangulation* - which rarely goes well and has potential consequences on morale and culture. If used too much, this may signal the need to evaluate culture and systems. Ultimately, the leader needs problem solvers on the team. If too many problems can only be resolved by the leader, then there is usually a system or skill set problem that needs addressing, too.