In a recent group coaching call I led, a caller asked about transitioning from the public sector to the private sector.
Keep in mind that your industry and functional expertise also determine how a transition should be made. But even assuming that industry and function stay constant (e.g., you are moving from a public hospital to a private one and staying in the same department), the transition between sectors alone still needs to be managed.
Diffuse any negative stereotypes attached to your current sector. People have assumptions about the sectors. Public sector people may assume private sector career changers are just chasing the next hot area. Private sector people may think all public sector people are bureaucratic.
Position yourself in a way your new sector understands. I once coached a non-profit candidate whom I would have hired for a private sector job in a heartbeat. Why? She had a very clear sense of her organization, its cost drivers and funding sources, and this business savvy could easily translate this into a bottom line-oriented culture.