If you really feel you are on the level for such a thing, you can choose not to apply for the job in the first place. But I don’t think that is usually the right approach for most people.
But if you are already applying for the job anyhow, then you should put in full hishtadlus which would include davening.
Basically, you have to decide if you are applying for the job or not. If you are, then you are, and you do full hishtadlus.