The phrase "to write this career" means to create or shape one's own path and success in their chosen profession. It implies taking control and actively working towards achieving one's career goals and aspirations. Full definition
Last but not the least, be sincere in writing your career objective and mean what you say, because you may have to repeat that when you appear for an interview. (sampleresumeobjectives.org)
A smart way of writing career objective for the position of payroll administrator is to mention what you have to offer straight away. (coverlettersandresume.com)
In writing your career objective, model it in professional, concise, and clear manner. (template.net)