I couldn't imagine to work without writing tests and I firmly believe it actually makes me quicker than manual coding. Sure, if you aim for 100% code coverage it takes time, but instead of trying out my code a few times, I just write those try-outs as tests and am happy ever after.
I don't really mention tests to my management. To me, they are just part of coding. My coworkers don't mind, they are happy when maintaining or changing my code that they have tests for support.