When you take over a team, your new employees are inevitably going to evaluate whether you are fit for the job. You can build their faith in your competence by producing results early on. Pick three or four simple, well-defined problems that matter to your team or your boss, and solve them in a way that’s consistent with company culture. Don’t overreach with these quick wins: Only choose a few that you know you can get done. Knock down roadblocks by identifying a few of the obstacles that are holding your team back. Can you get a famously difficult executive to sign off on a resource request? Can you persuade other business unit heads to untangle a tricky project plan? Confront these tough issues, and your team will know you can get things done.
Source: Adapted from The Harvard Business Review Manager's Handbook